(x-2)(x+2)=x^2+12x+36

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Solution for (x-2)(x+2)=x^2+12x+36 equation:


Simplifying
(x + -2)(x + 2) = x2 + 12x + 36

Reorder the terms:
(-2 + x)(x + 2) = x2 + 12x + 36

Reorder the terms:
(-2 + x)(2 + x) = x2 + 12x + 36

Multiply (-2 + x) * (2 + x)
(-2(2 + x) + x(2 + x)) = x2 + 12x + 36
((2 * -2 + x * -2) + x(2 + x)) = x2 + 12x + 36
((-4 + -2x) + x(2 + x)) = x2 + 12x + 36
(-4 + -2x + (2 * x + x * x)) = x2 + 12x + 36
(-4 + -2x + (2x + x2)) = x2 + 12x + 36

Combine like terms: -2x + 2x = 0
(-4 + 0 + x2) = x2 + 12x + 36
(-4 + x2) = x2 + 12x + 36

Reorder the terms:
-4 + x2 = 36 + 12x + x2

Add '-1x2' to each side of the equation.
-4 + x2 + -1x2 = 36 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + 0 = 36 + 12x + x2 + -1x2
-4 = 36 + 12x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 = 36 + 12x + 0
-4 = 36 + 12x

Solving
-4 = 36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-4 + -12x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + -12x = 36 + 0
-4 + -12x = 36

Add '4' to each side of the equation.
-4 + 4 + -12x = 36 + 4

Combine like terms: -4 + 4 = 0
0 + -12x = 36 + 4
-12x = 36 + 4

Combine like terms: 36 + 4 = 40
-12x = 40

Divide each side by '-12'.
x = -3.333333333

Simplifying
x = -3.333333333

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