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

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


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

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

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

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

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

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

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

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

Combine like terms: -4x + -4x = -8x
-36 + x2 = 10x + x(16 + -8x + x2)
-36 + x2 = 10x + (16 * x + -8x * x + x2 * x)
-36 + x2 = 10x + (16x + -8x2 + x3)

Combine like terms: 10x + 16x = 26x
-36 + x2 = 26x + -8x2 + x3

Solving
-36 + x2 = 26x + -8x2 + x3

Solving for variable 'x'.

Reorder the terms:
-36 + -26x + x2 + 8x2 + -1x3 = 26x + -8x2 + x3 + -26x + 8x2 + -1x3

Combine like terms: x2 + 8x2 = 9x2
-36 + -26x + 9x2 + -1x3 = 26x + -8x2 + x3 + -26x + 8x2 + -1x3

Reorder the terms:
-36 + -26x + 9x2 + -1x3 = 26x + -26x + -8x2 + 8x2 + x3 + -1x3

Combine like terms: 26x + -26x = 0
-36 + -26x + 9x2 + -1x3 = 0 + -8x2 + 8x2 + x3 + -1x3
-36 + -26x + 9x2 + -1x3 = -8x2 + 8x2 + x3 + -1x3

Combine like terms: -8x2 + 8x2 = 0
-36 + -26x + 9x2 + -1x3 = 0 + x3 + -1x3
-36 + -26x + 9x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-36 + -26x + 9x2 + -1x3 = 0

The solution to this equation could not be determined.

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