#1**0 **

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**

Guest Oct 12, 2017