(x-2)(x-2)=(x+6)(x-6)

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Solution for (x-2)(x-2)=(x+6)(x-6) equation: 


Simplifying
(x + -2)(x + -2) = (x + 6)(x + -6)

Reorder the terms:
(-2 + x)(x + -2) = (x + 6)(x + -6)

Reorder the terms:
(-2 + x)(-2 + x) = (x + 6)(x + -6)

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x)) = (x + 6)(x + -6)
((-2 * -2 + x * -2) + x(-2 + x)) = (x + 6)(x + -6)
((4 + -2x) + x(-2 + x)) = (x + 6)(x + -6)
(4 + -2x + (-2 * x + x * x)) = (x + 6)(x + -6)
(4 + -2x + (-2x + x2)) = (x + 6)(x + -6)

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2) = (x + 6)(x + -6)

Reorder the terms:
4 + -4x + x2 = (6 + x)(x + -6)

Reorder the terms:
4 + -4x + x2 = (6 + x)(-6 + x)

Multiply (6 + x) * (-6 + x)
4 + -4x + x2 = (6(-6 + x) + x(-6 + x))
4 + -4x + x2 = ((-6 * 6 + x * 6) + x(-6 + x))
4 + -4x + x2 = ((-36 + 6x) + x(-6 + x))
4 + -4x + x2 = (-36 + 6x + (-6 * x + x * x))
4 + -4x + x2 = (-36 + 6x + (-6x + x2))

Combine like terms: 6x + -6x = 0
4 + -4x + x2 = (-36 + 0 + x2)
4 + -4x + x2 = (-36 + x2)

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

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

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

Solving
4 + -4x = -36

Solving for variable 'x'.

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

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

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

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

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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