Answer by taking a quote from the following article:

Emiliano Zapata Salazar (Spanish pronunciation: [emi'ljano sa'pata]; 8 August 1879 - 10 April 1919) was a leading figure in the Mexican Revolution, the main leader of the peasant revolution in the state of Morelos, and the inspiration of the agrarian movement called Zapatismo. Zapata was born in the rural village of Anenecuilco in Morelos State, where peasant communities were under increasing pressure from the small landowning class who monopolized land and water resources for sugar cane production with the support of dictator Porfirio Diaz. Zapata early on participated in political movements against Diaz and the landowning hacendados, and when the Revolution broke out in 1910 he was positioned as a central leader of the peasant revolt in Morelos. Cooperating with a number of other peasant leaders he formed the Liberation Army of the South of which he soon became the undisputed leader.

In mid-March 1919, Gen. Pablo Gonzalez ordered his subordinate Col. Jesus Guajardo to commence operations against the Zapatistas in the mountains around Huautla. But when Gonzalez later discovered Guajardo carousing in a cantina, he had him arrested, and a public scandal ensued. On March 21st, Zapata attempted to smuggle in a note to Guajardo, inviting him to switch sides. The note, however, never reached Guajardo but instead wound up on Gonzalez's desk. Gonzalez devised a plan to use this note to his advantage. He accused Guajardo of not only being a drunk, but of being a traitor. After reducing Guajardo to tears, Gonzalez explained to him that he could recover from this disgrace if he feigned a defection to Zapata. So Guajardo wrote to Zapata telling him that he would bring over his men and supplies if certain guarantees were promised. Zapata answered Guajardo's letter on April 1, 1919, agreeing to all of Guajardo's terms. Zapata suggested a mutiny on April 4. Guajardo replied that his defection should wait until a new shipment of arms and ammunition arrived sometime between the 6th and the 10th. By the 7th, the plans were set: Zapata ordered Guajardo to attack the Federal garrison at Jonacatepec because the garrison included troops who had defected from Zapata. Pablo Gonzalez and Guajardo notified the Jonacatepec garrison ahead of time, and a mock battle was staged on April 9. At the conclusion of the mock battle, the former Zapatistas were arrested and shot. Convinced that Guajardo was sincere, Zapata agreed to a final meeting where Guajardo would defect.  On April 10, 1919, Guajardo invited Zapata to a meeting, intimating that he intended to defect to the revolutionaries. However, when Zapata arrived at the Hacienda de San Juan, in Chinameca, Ayala municipality, Guajardo's men riddled him with bullets.  After he was gunned down, they then took his body to Cuautla to claim the bounty, where they are reputed to have been given only half of what was promised. Zapata's body was photographed, displayed for 24 hours, and then buried in Cuautla. Pablo Gonzalez wanted the body photographed, so that there would be no doubt that Zapata was dead: "it was an actual fact that the famous jefe of the southern region had died." Although Mexico City newspapers had called for Zapata's body to be brought to the capital, Carranza did not do so. However, Zapata's clothing was displayed outside a newspaper's office across from the Alameda Park in the capital.

Did he try to take over other places?
On March 21st, Zapata attempted to smuggle in a note to Guajardo, inviting him to switch sides. The note, however, never reached Guajardo but instead wound up on Gonzalez's desk.