(x+6)(x-6)=10x+(x-4)(x-4)

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Solution for (x+6)(x-6)=10x+(x-4)(x-4) equation: 


Simplifying
(x + 6)(x + -6) = 10x + (x + -4)(x + -4)

Reorder the terms:
(6 + x)(x + -6) = 10x + (x + -4)(x + -4)

Reorder the terms:
(6 + x)(-6 + x) = 10x + (x + -4)(x + -4)

Multiply (6 + x) * (-6 + x)
(6(-6 + x) + x(-6 + x)) = 10x + (x + -4)(x + -4)
((-6 * 6 + x * 6) + x(-6 + x)) = 10x + (x + -4)(x + -4)
((-36 + 6x) + x(-6 + x)) = 10x + (x + -4)(x + -4)
(-36 + 6x + (-6 * x + x * x)) = 10x + (x + -4)(x + -4)
(-36 + 6x + (-6x + x2)) = 10x + (x + -4)(x + -4)

Combine like terms: 6x + -6x = 0
(-36 + 0 + x2) = 10x + (x + -4)(x + -4)
(-36 + x2) = 10x + (x + -4)(x + -4)

Reorder the terms:
-36 + x2 = 10x + (-4 + x)(x + -4)

Reorder the terms:
-36 + x2 = 10x + (-4 + x)(-4 + x)

Multiply (-4 + x) * (-4 + x)
-36 + x2 = 10x + (-4(-4 + x) + x(-4 + x))
-36 + x2 = 10x + ((-4 * -4 + x * -4) + x(-4 + x))
-36 + x2 = 10x + ((16 + -4x) + x(-4 + x))
-36 + x2 = 10x + (16 + -4x + (-4 * x + x * x))
-36 + x2 = 10x + (16 + -4x + (-4x + x2))

Combine like terms: -4x + -4x = -8x
-36 + x2 = 10x + (16 + -8x + x2)

Reorder the terms:
-36 + x2 = 16 + 10x + -8x + x2

Combine like terms: 10x + -8x = 2x
-36 + x2 = 16 + 2x + x2

Add '-1x2' to each side of the equation.
-36 + x2 + -1x2 = 16 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + 0 = 16 + 2x + x2 + -1x2
-36 = 16 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 = 16 + 2x + 0
-36 = 16 + 2x

Solving
-36 = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-36 + -2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-36 + -2x = 16 + 0
-36 + -2x = 16

Add '36' to each side of the equation.
-36 + 36 + -2x = 16 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = 16 + 36
-2x = 16 + 36

Combine like terms: 16 + 36 = 52
-2x = 52

Divide each side by '-2'.
x = -26

Simplifying
x = -26

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