3x^2 + 4x -4
ax^2 + ax + c
a = 3
b = 4
c = -4
Start by multiplying a * c together
a * c = 3 * - 4 = - 12
Find two number that multiply to -12 and also add up to 4
6 and - 2 can be an option because ...
6 * - 2 = - 12
6 - 2 = 4
Now you rewrite the equation to solve for factors...
3x^2 + 6x - 2x - 4
Factor out like terms...
3x ( x + 2 ) - 2 ( x + 2)
THE FACTORS OF THIS QUADRATIC EQUATION ARE ( x + 2) ( 3x - 2)