Find all solutions by factoring. \[ 4 c^{2}-9 c=9 \]

Step 1 ：Rearrange the equation into a standard quadratic equation form: \(4c^{2} - 9c - 9 = 0\)

Step 2 ：Factor the quadratic equation

Step 3 ：The solutions to the equation are \(c = -\frac{3}{4}\) and \(c = 3\)

Step 4 ：Final Answer: The solutions to the equation are \(\boxed{-\frac{3}{4}}\) and \(\boxed{3}\)