Final answer to the problem
$x=\frac{1+\sqrt{109}}{6},\:x=\frac{1-\sqrt{109}}{6}$
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Step-by-step Solution
Learn how to solve quadratic formula problems step by step online. Solve the quadratic equation (2x^2)/4+(-x)/6=3/2. Take \frac{2}{4} out of the fraction. We need to isolate the dependent variable x, we can do that by simultaneously subtracting \frac{-x}{6} from both sides of the equation. Canceling terms on both sides. Multiplying the fraction by x^2.
Final answer to the problem
$x=\frac{1+\sqrt{109}}{6},\:x=\frac{1-\sqrt{109}}{6}$
