(x-2)(x+8)+32=(x-4)(x-4)+14x

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Solution for (x-2)(x+8)+32=(x-4)(x-4)+14x equation: 


Simplifying
(x + -2)(x + 8) + 32 = (x + -4)(x + -4) + 14x

Reorder the terms:
(-2 + x)(x + 8) + 32 = (x + -4)(x + -4) + 14x

Reorder the terms:
(-2 + x)(8 + x) + 32 = (x + -4)(x + -4) + 14x

Multiply (-2 + x) * (8 + x)
(-2(8 + x) + x(8 + x)) + 32 = (x + -4)(x + -4) + 14x
((8 * -2 + x * -2) + x(8 + x)) + 32 = (x + -4)(x + -4) + 14x
((-16 + -2x) + x(8 + x)) + 32 = (x + -4)(x + -4) + 14x
(-16 + -2x + (8 * x + x * x)) + 32 = (x + -4)(x + -4) + 14x
(-16 + -2x + (8x + x2)) + 32 = (x + -4)(x + -4) + 14x

Combine like terms: -2x + 8x = 6x
(-16 + 6x + x2) + 32 = (x + -4)(x + -4) + 14x

Reorder the terms:
-16 + 32 + 6x + x2 = (x + -4)(x + -4) + 14x

Combine like terms: -16 + 32 = 16
16 + 6x + x2 = (x + -4)(x + -4) + 14x

Reorder the terms:
16 + 6x + x2 = (-4 + x)(x + -4) + 14x

Reorder the terms:
16 + 6x + x2 = (-4 + x)(-4 + x) + 14x

Multiply (-4 + x) * (-4 + x)
16 + 6x + x2 = (-4(-4 + x) + x(-4 + x)) + 14x
16 + 6x + x2 = ((-4 * -4 + x * -4) + x(-4 + x)) + 14x
16 + 6x + x2 = ((16 + -4x) + x(-4 + x)) + 14x
16 + 6x + x2 = (16 + -4x + (-4 * x + x * x)) + 14x
16 + 6x + x2 = (16 + -4x + (-4x + x2)) + 14x

Combine like terms: -4x + -4x = -8x
16 + 6x + x2 = (16 + -8x + x2) + 14x

Reorder the terms:
16 + 6x + x2 = 16 + -8x + 14x + x2

Combine like terms: -8x + 14x = 6x
16 + 6x + x2 = 16 + 6x + x2

Add '-16' to each side of the equation.
16 + 6x + -16 + x2 = 16 + 6x + -16 + x2

Reorder the terms:
16 + -16 + 6x + x2 = 16 + 6x + -16 + x2

Combine like terms: 16 + -16 = 0
0 + 6x + x2 = 16 + 6x + -16 + x2
6x + x2 = 16 + 6x + -16 + x2

Reorder the terms:
6x + x2 = 16 + -16 + 6x + x2

Combine like terms: 16 + -16 = 0
6x + x2 = 0 + 6x + x2
6x + x2 = 6x + x2

Add '-6x' to each side of the equation.
6x + -6x + x2 = 6x + -6x + x2

Combine like terms: 6x + -6x = 0
0 + x2 = 6x + -6x + x2
x2 = 6x + -6x + x2

Combine like terms: 6x + -6x = 0
x2 = 0 + x2
x2 = x2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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