x^2+9x+12=4x+6

Solution for x^2+9x+12=4x+6 equation:

Simplifying
x2 + 9x + 12 = 4x + 6

Reorder the terms:
12 + 9x + x2 = 4x + 6

Reorder the terms:
12 + 9x + x2 = 6 + 4x

Solving
12 + 9x + x2 = 6 + 4x

Solving for variable 'x'.

Reorder the terms:
12 + -6 + 9x + -4x + x2 = 6 + 4x + -6 + -4x

Combine like terms: 12 + -6 = 6
6 + 9x + -4x + x2 = 6 + 4x + -6 + -4x

Combine like terms: 9x + -4x = 5x
6 + 5x + x2 = 6 + 4x + -6 + -4x

Reorder the terms:
6 + 5x + x2 = 6 + -6 + 4x + -4x

Combine like terms: 6 + -6 = 0
6 + 5x + x2 = 0 + 4x + -4x
6 + 5x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 5x + x2 = 0

Factor a trinomial.
(3 + x)(2 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-3, -2}