"acquire the support" is grammatically correct and can be used in written English.
It means to obtain or gain the assistance or approval of someone. Example: The politician worked hard to acquire the support of the community leaders for her campaign.
The second phase was a pale reflection of the aristocratic resistance during the Wars of Religion; and, although Condé succeeded in gaining control of Paris, he did not acquire the support of the Parlement except briefly and under duress.
With knowledge and technical expertise, these bureaucrats construct policy agendas; suggest innovative ideas; design policy programs; and acquire the support and approval of other stakeholders, especially local leaders, by strategies such as marketing, alliances, and fostering political achievements.
The committee, started by a group of artist friends of Yoko's, had acquired the support of scores of prominent artists, curators, gallery owners, art critics, writers, poets, musicians, and actors.
The GEAA, in its grassroots action, supplemented the lack of public awareness by acquiring the support of an important policymaker.
They are thus well motivated to play the roles of solving the disputes related to the cooperation and acquiring the support from the government.
The shares have recently acquired the support of their 40-week moving average and, while NTAP sits on a year-to-date loss of nearly 4%, it is still outperforming the S&P 500 Index's (SPX) loss of nearly 15%.
William the Conqueror acquired the support of the Church for the invasion of England by promising ecclesiastical reform.
Mearns had spent the previous six years privately researching the fate of Hood with the goal of finding the battlecruiser, and had acquired the support of the Royal Navy, the HMS Hood Association and other veterans groups, and the last living survivor, Ted Briggs.
After al-Ma'mun's death in 1232, his widow attempted to forcibly install her son, acquiring the support of the Almohad army chiefs and Spanish mercenaries with the promise to hand Marrakesh over to them for the sack.
BM and JTA revised the manuscript and acquired the funding to support the research.
Today, it seems directors need only a single financial success to acquire the unquestioning support of the studios.
