Answer:
x = 2 or x = -1
Step-by-step explanation:
Solve for x:
4 x^2 - 4 x = 8
Divide both sides by 4:
x^2 - x = 2
Add 1/4 to both sides:
x^2 - x + 1/4 = 9/4
Write the left hand side as a square:
(x - 1/2)^2 = 9/4
Take the square root of both sides:
x - 1/2 = 3/2 or x - 1/2 = -3/2
Add 1/2 to both sides:
x = 2 or x - 1/2 = -3/2
Add 1/2 to both sides:
Answer: x = 2 or x = -1
