(x-6)(x-6)=(x+6)(x-12)

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Solution for (x-6)(x-6)=(x+6)(x-12) equation: 


Simplifying
(x + -6)(x + -6) = (x + 6)(x + -12)

Reorder the terms:
(-6 + x)(x + -6) = (x + 6)(x + -12)

Reorder the terms:
(-6 + x)(-6 + x) = (x + 6)(x + -12)

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = (x + 6)(x + -12)
((-6 * -6 + x * -6) + x(-6 + x)) = (x + 6)(x + -12)
((36 + -6x) + x(-6 + x)) = (x + 6)(x + -12)
(36 + -6x + (-6 * x + x * x)) = (x + 6)(x + -12)
(36 + -6x + (-6x + x2)) = (x + 6)(x + -12)

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = (x + 6)(x + -12)

Reorder the terms:
36 + -12x + x2 = (6 + x)(x + -12)

Reorder the terms:
36 + -12x + x2 = (6 + x)(-12 + x)

Multiply (6 + x) * (-12 + x)
36 + -12x + x2 = (6(-12 + x) + x(-12 + x))
36 + -12x + x2 = ((-12 * 6 + x * 6) + x(-12 + x))
36 + -12x + x2 = ((-72 + 6x) + x(-12 + x))
36 + -12x + x2 = (-72 + 6x + (-12 * x + x * x))
36 + -12x + x2 = (-72 + 6x + (-12x + x2))

Combine like terms: 6x + -12x = -6x
36 + -12x + x2 = (-72 + -6x + x2)

Add '-1x2' to each side of the equation.
36 + -12x + x2 + -1x2 = -72 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -12x + 0 = -72 + -6x + x2 + -1x2
36 + -12x = -72 + -6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -12x = -72 + -6x + 0
36 + -12x = -72 + -6x

Solving
36 + -12x = -72 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
36 + -12x + 6x = -72 + -6x + 6x

Combine like terms: -12x + 6x = -6x
36 + -6x = -72 + -6x + 6x

Combine like terms: -6x + 6x = 0
36 + -6x = -72 + 0
36 + -6x = -72

Add '-36' to each side of the equation.
36 + -36 + -6x = -72 + -36

Combine like terms: 36 + -36 = 0
0 + -6x = -72 + -36
-6x = -72 + -36

Combine like terms: -72 + -36 = -108
-6x = -108

Divide each side by '-6'.
x = 18

Simplifying
x = 18

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