Solve for x:
3 x^2-2 x-3 = 0
Divide both sides by 3:
x^2-(2 x)/3-1 = 0
Add 1 to both sides:
x^2-(2 x)/3 = 1
Add 1/9 to both sides:
x^2-(2 x)/3+1/9 = 10/9
Write the left hand side as a square:
(x-1/3)^2 = 10/9
Take the square root of both sides:
x-1/3 = sqrt(10)/3 or x-1/3 = -sqrt(10)/3
Add 1/3 to both sides:
x = 1/3+sqrt(10)/3 or x-1/3 = -sqrt(10)/3
Add 1/3 to both sides:
Answer: |x = 1/3+sqrt(10)/3 or x = 1/3-sqrt(10)/3
