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}