Answer
$x = \frac{1}{3}$ or $x =-0.5$
Work Step by Step
$12x^2 + 2x - 2 = 0$
Step 1:
is not needed because there is no fractions.
$12x^2 + 2x - 2 = 0$
Step 2: is not needed
$12x^2 + 2x - 2 = 0$
Step 3:
is not needed since no simplifying can be done on either side of the equation.
$12x^2 + 2x - 2 = 0$
Step 4:
The equation is quadratic.
Step 5: Rewrite the equation in standard form.
$12x^2 + 2x-2 = 0$
Step 6: Factor.
$(6x -2)(2x +1) = 0$
Step 7: Set each factor equal to 0.
$6x -2 = 0$ or $2x +1 = 0$
Solve each equation.
$6x = +2$ or $2x =-1$
$x = \frac{1}{3}$ or $x =-0.5$