(x+3)(x-3)=12x+4

Solution for (x+3)(x-3)=12x+4 equation:

Simplifying
(x + 3)(x + -3) = 12x + 4

Reorder the terms:
(3 + x)(x + -3) = 12x + 4

Reorder the terms:
(3 + x)(-3 + x) = 12x + 4

Multiply (3 + x) * (-3 + x)
(3(-3 + x) + x(-3 + x)) = 12x + 4
((-3 * 3 + x * 3) + x(-3 + x)) = 12x + 4
((-9 + 3x) + x(-3 + x)) = 12x + 4
(-9 + 3x + (-3 * x + x * x)) = 12x + 4
(-9 + 3x + (-3x + x2)) = 12x + 4

Combine like terms: 3x + -3x = 0
(-9 + 0 + x2) = 12x + 4
(-9 + x2) = 12x + 4

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

Solving
-9 + x2 = 4 + 12x

Solving for variable 'x'.

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

Combine like terms: -9 + -4 = -13
-13 + -12x + x2 = 4 + 12x + -4 + -12x

Reorder the terms:
-13 + -12x + x2 = 4 + -4 + 12x + -12x

Combine like terms: 4 + -4 = 0
-13 + -12x + x2 = 0 + 12x + -12x
-13 + -12x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-13 + -12x + x2 = 0

Factor a trinomial.
(-1 + -1x)(13 + -1x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-1, 13}