Solve for x:
6 = 6 x-x^2
6 = 6 x-x^2 is equivalent to 6 x-x^2 = 6:
6 x-x^2 = 6
Multiply both sides by -1:
x^2-6 x = -6
Add 9 to both sides:
x^2-6 x+9 = 3
Write the left hand side as a square:
(x-3)^2 = 3
Take the square root of both sides:
x-3 = sqrt(3) or x-3 = -sqrt(3)
Add 3 to both sides:
x = 3+sqrt(3) or x-3 = -sqrt(3)
Add 3 to both sides:
Answer: |x = 3+sqrt(3) or x = 3-sqrt(3)
