Solve for x:
3 x^2 - 2 x - 8 = 0
Divide both sides by 3:
x^2 - (2 x)/3 - 8/3 = 0
Add 8/3 to both sides:
x^2 - (2 x)/3 = 8/3
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = 25/9
Write the left hand side as a square:
(x - 1/3)^2 = 25/9
Take the square root of both sides:
x - 1/3 = 5/3 or x - 1/3 = -5/3
Add 1/3 to both sides:
x = 2 or x - 1/3 = -5/3
Add 1/3 to both sides:
Answer: |x = 2 or x = -4/3
