(x-4)(x+2)=(x-6)(x+6)

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Solution for (x-4)(x+2)=(x-6)(x+6) equation: 


Simplifying
(x + -4)(x + 2) = (x + -6)(x + 6)

Reorder the terms:
(-4 + x)(x + 2) = (x + -6)(x + 6)

Reorder the terms:
(-4 + x)(2 + x) = (x + -6)(x + 6)

Multiply (-4 + x) * (2 + x)
(-4(2 + x) + x(2 + x)) = (x + -6)(x + 6)
((2 * -4 + x * -4) + x(2 + x)) = (x + -6)(x + 6)
((-8 + -4x) + x(2 + x)) = (x + -6)(x + 6)
(-8 + -4x + (2 * x + x * x)) = (x + -6)(x + 6)
(-8 + -4x + (2x + x2)) = (x + -6)(x + 6)

Combine like terms: -4x + 2x = -2x
(-8 + -2x + x2) = (x + -6)(x + 6)

Reorder the terms:
-8 + -2x + x2 = (-6 + x)(x + 6)

Reorder the terms:
-8 + -2x + x2 = (-6 + x)(6 + x)

Multiply (-6 + x) * (6 + x)
-8 + -2x + x2 = (-6(6 + x) + x(6 + x))
-8 + -2x + x2 = ((6 * -6 + x * -6) + x(6 + x))
-8 + -2x + x2 = ((-36 + -6x) + x(6 + x))
-8 + -2x + x2 = (-36 + -6x + (6 * x + x * x))
-8 + -2x + x2 = (-36 + -6x + (6x + x2))

Combine like terms: -6x + 6x = 0
-8 + -2x + x2 = (-36 + 0 + x2)
-8 + -2x + x2 = (-36 + x2)

Add '-1x2' to each side of the equation.
-8 + -2x + x2 + -1x2 = -36 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -2x + 0 = -36 + x2 + -1x2
-8 + -2x = -36 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + -2x = -36 + 0
-8 + -2x = -36

Solving
-8 + -2x = -36

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -2x = -36 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -36 + 8
-2x = -36 + 8

Combine like terms: -36 + 8 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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