## Algebra: A Combined Approach (4th Edition)

$x = +0.25$ or $x =-\frac{2}{3}$
$12x^2+5x-2 = 0$ 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 $x =-\frac{2}{3}$