Solve for x:
4 x^2 + 12 x - 12 = 0
Divide both sides by 4:
x^2 + 3 x - 3 = 0
Add 3 to both sides:
x^2 + 3 x = 3
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 21/4
Write the left hand side as a square:
(x + 3/2)^2 = 21/4
Take the square root of both sides:
x + 3/2 = sqrt(21)/2 or x + 3/2 = -sqrt(21)/2
Subtract 3/2 from both sides:
x = sqrt(21)/2 - 3/2 or x + 3/2 = -sqrt(21)/2
Subtract 3/2 from both sides:
x = sqrt(21)/2 - 3/2 or x = -3/2 - sqrt(21)/2
