(x+10)(x-10)=(x-6)(x+6)+8

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Solution for (x+10)(x-10)=(x-6)(x+6)+8 equation: 


Simplifying
(x + 10)(x + -10) = (x + -6)(x + 6) + 8

Reorder the terms:
(10 + x)(x + -10) = (x + -6)(x + 6) + 8

Reorder the terms:
(10 + x)(-10 + x) = (x + -6)(x + 6) + 8

Multiply (10 + x) * (-10 + x)
(10(-10 + x) + x(-10 + x)) = (x + -6)(x + 6) + 8
((-10 * 10 + x * 10) + x(-10 + x)) = (x + -6)(x + 6) + 8
((-100 + 10x) + x(-10 + x)) = (x + -6)(x + 6) + 8
(-100 + 10x + (-10 * x + x * x)) = (x + -6)(x + 6) + 8
(-100 + 10x + (-10x + x2)) = (x + -6)(x + 6) + 8

Combine like terms: 10x + -10x = 0
(-100 + 0 + x2) = (x + -6)(x + 6) + 8
(-100 + x2) = (x + -6)(x + 6) + 8

Reorder the terms:
-100 + x2 = (-6 + x)(x + 6) + 8

Reorder the terms:
-100 + x2 = (-6 + x)(6 + x) + 8

Multiply (-6 + x) * (6 + x)
-100 + x2 = (-6(6 + x) + x(6 + x)) + 8
-100 + x2 = ((6 * -6 + x * -6) + x(6 + x)) + 8
-100 + x2 = ((-36 + -6x) + x(6 + x)) + 8
-100 + x2 = (-36 + -6x + (6 * x + x * x)) + 8
-100 + x2 = (-36 + -6x + (6x + x2)) + 8

Combine like terms: -6x + 6x = 0
-100 + x2 = (-36 + 0 + x2) + 8
-100 + x2 = (-36 + x2) + 8

Reorder the terms:
-100 + x2 = -36 + 8 + x2

Combine like terms: -36 + 8 = -28
-100 + x2 = -28 + x2

Add '-1x2' to each side of the equation.
-100 + x2 + -1x2 = -28 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-100 + 0 = -28 + x2 + -1x2
-100 = -28 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-100 = -28 + 0
-100 = -28

Solving
-100 = -28

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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