(X+4)(x+4)+(x-4)(x-4)=2x(x-5)+8

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Solution for (X+4)(x+4)+(x-4)(x-4)=2x(x-5)+8 equation: 


Simplifying
(X + 4)(x + 4) + (x + -4)(x + -4) = 2x(x + -5) + 8

Reorder the terms:
(4 + X)(x + 4) + (x + -4)(x + -4) = 2x(x + -5) + 8

Reorder the terms:
(4 + X)(4 + x) + (x + -4)(x + -4) = 2x(x + -5) + 8

Multiply (4 + X) * (4 + x)
(4(4 + x) + X(4 + x)) + (x + -4)(x + -4) = 2x(x + -5) + 8
((4 * 4 + x * 4) + X(4 + x)) + (x + -4)(x + -4) = 2x(x + -5) + 8
((16 + 4x) + X(4 + x)) + (x + -4)(x + -4) = 2x(x + -5) + 8
(16 + 4x + (4 * X + x * X)) + (x + -4)(x + -4) = 2x(x + -5) + 8
(16 + 4x + (4X + xX)) + (x + -4)(x + -4) = 2x(x + -5) + 8

Reorder the terms:
(16 + 4X + 4x + xX) + (x + -4)(x + -4) = 2x(x + -5) + 8
(16 + 4X + 4x + xX) + (x + -4)(x + -4) = 2x(x + -5) + 8

Reorder the terms:
16 + 4X + 4x + xX + (-4 + x)(x + -4) = 2x(x + -5) + 8

Reorder the terms:
16 + 4X + 4x + xX + (-4 + x)(-4 + x) = 2x(x + -5) + 8

Multiply (-4 + x) * (-4 + x)
16 + 4X + 4x + xX + (-4(-4 + x) + x(-4 + x)) = 2x(x + -5) + 8
16 + 4X + 4x + xX + ((-4 * -4 + x * -4) + x(-4 + x)) = 2x(x + -5) + 8
16 + 4X + 4x + xX + ((16 + -4x) + x(-4 + x)) = 2x(x + -5) + 8
16 + 4X + 4x + xX + (16 + -4x + (-4 * x + x * x)) = 2x(x + -5) + 8
16 + 4X + 4x + xX + (16 + -4x + (-4x + x2)) = 2x(x + -5) + 8

Combine like terms: -4x + -4x = -8x
16 + 4X + 4x + xX + (16 + -8x + x2) = 2x(x + -5) + 8

Reorder the terms:
16 + 16 + 4X + 4x + -8x + xX + x2 = 2x(x + -5) + 8

Combine like terms: 16 + 16 = 32
32 + 4X + 4x + -8x + xX + x2 = 2x(x + -5) + 8

Combine like terms: 4x + -8x = -4x
32 + 4X + -4x + xX + x2 = 2x(x + -5) + 8

Reorder the terms:
32 + 4X + -4x + xX + x2 = 2x(-5 + x) + 8
32 + 4X + -4x + xX + x2 = (-5 * 2x + x * 2x) + 8
32 + 4X + -4x + xX + x2 = (-10x + 2x2) + 8

Reorder the terms:
32 + 4X + -4x + xX + x2 = 8 + -10x + 2x2

Solving
32 + 4X + -4x + xX + x2 = 8 + -10x + 2x2

Solving for variable 'X'.

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

Add '-32' to each side of the equation.
32 + 4X + -4x + xX + -32 + x2 = 8 + -10x + -32 + 2x2

Reorder the terms:
32 + -32 + 4X + -4x + xX + x2 = 8 + -10x + -32 + 2x2

Combine like terms: 32 + -32 = 0
0 + 4X + -4x + xX + x2 = 8 + -10x + -32 + 2x2
4X + -4x + xX + x2 = 8 + -10x + -32 + 2x2

Reorder the terms:
4X + -4x + xX + x2 = 8 + -32 + -10x + 2x2

Combine like terms: 8 + -32 = -24
4X + -4x + xX + x2 = -24 + -10x + 2x2

Add '4x' to each side of the equation.
4X + -4x + xX + 4x + x2 = -24 + -10x + 4x + 2x2

Reorder the terms:
4X + -4x + 4x + xX + x2 = -24 + -10x + 4x + 2x2

Combine like terms: -4x + 4x = 0
4X + 0 + xX + x2 = -24 + -10x + 4x + 2x2
4X + xX + x2 = -24 + -10x + 4x + 2x2

Combine like terms: -10x + 4x = -6x
4X + xX + x2 = -24 + -6x + 2x2

Add '-1x2' to each side of the equation.
4X + xX + x2 + -1x2 = -24 + -6x + 2x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4X + xX + 0 = -24 + -6x + 2x2 + -1x2
4X + xX = -24 + -6x + 2x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
4X + xX = -24 + -6x + 1x2

Reorder the terms:
24 + 4X + 6x + xX + -1x2 = -24 + -6x + 1x2 + 24 + 6x + -1x2

Reorder the terms:
24 + 4X + 6x + xX + -1x2 = -24 + 24 + -6x + 6x + 1x2 + -1x2

Combine like terms: -24 + 24 = 0
24 + 4X + 6x + xX + -1x2 = 0 + -6x + 6x + 1x2 + -1x2
24 + 4X + 6x + xX + -1x2 = -6x + 6x + 1x2 + -1x2

Combine like terms: -6x + 6x = 0
24 + 4X + 6x + xX + -1x2 = 0 + 1x2 + -1x2
24 + 4X + 6x + xX + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
24 + 4X + 6x + xX + -1x2 = 0

The solution to this equation could not be determined.

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