Answer
$x = +0.25$ or $x =-\frac{2}{3}$
Work Step by Step
$12x^2+5x-2 = 0$
Step 1:
is not needed because there is no fractions.
$12x^2+5x-2 = 0$
Step 2:
is not needed.
$12x^2+5x-2 = 0$
Step 3:
is not needed since no simplifying can be done on either side of the equation.
$12x^2+5x-2 = 0$
Step 4:
The equation is quadratic.
$12x^2+5x-2 = 0$
Step 5: Rewrite the equation in standard form.
$12x^2 + 5x-2 = 0$
Step 6: Factor.
$(4x -1)(3x +2) = 0$
Step 7: Set each factor equal to 0.
$4x -1 = 0$ or $3x +2= 0$
Solve each equation.
$4x= +1$ or $3x =-2$
$x = +0.25$ or $x =-\frac{2}{3}$
