Answer
$$x=\frac{4}{3},\:x=\frac{3}{2}$$
Work Step by Step
Solving by setting the factors equal to zero, we find:
$$2x\left(3x-4\right)-3\left(3x-4\right) \\ \left(3x-4\right)\left(2x-3\right) \\ x=\frac{4}{3},\:x=\frac{3}{2}$$
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