Problem

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

Answer

Expert–verified
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Answer

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

Steps

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 \(\boxed{3}\)

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