3x^2-9x-6=-6

Solution for 3x^2-9x-6=-6 equation:

Simplifying
3x2 + -9x + -6 = -6

Reorder the terms:
-6 + -9x + 3x2 = -6

Add '6' to each side of the equation.
-6 + -9x + 6 + 3x2 = -6 + 6

Reorder the terms:
-6 + 6 + -9x + 3x2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + -9x + 3x2 = -6 + 6
-9x + 3x2 = -6 + 6

Combine like terms: -6 + 6 = 0
-9x + 3x2 = 0

Solving
-9x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-3 + x) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Solution
x = {0, 3}