2x^2+8x-64=2(x+8)(x-4)

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Solution for 2x^2+8x-64=2(x+8)(x-4) equation: 


Simplifying
2x2 + 8x + -64 = 2(x + 8)(x + -4)

Reorder the terms:
-64 + 8x + 2x2 = 2(x + 8)(x + -4)

Reorder the terms:
-64 + 8x + 2x2 = 2(8 + x)(x + -4)

Reorder the terms:
-64 + 8x + 2x2 = 2(8 + x)(-4 + x)

Multiply (8 + x) * (-4 + x)
-64 + 8x + 2x2 = 2(8(-4 + x) + x(-4 + x))
-64 + 8x + 2x2 = 2((-4 * 8 + x * 8) + x(-4 + x))
-64 + 8x + 2x2 = 2((-32 + 8x) + x(-4 + x))
-64 + 8x + 2x2 = 2(-32 + 8x + (-4 * x + x * x))
-64 + 8x + 2x2 = 2(-32 + 8x + (-4x + x2))

Combine like terms: 8x + -4x = 4x
-64 + 8x + 2x2 = 2(-32 + 4x + x2)
-64 + 8x + 2x2 = (-32 * 2 + 4x * 2 + x2 * 2)
-64 + 8x + 2x2 = (-64 + 8x + 2x2)

Add '64' to each side of the equation.
-64 + 8x + 64 + 2x2 = -64 + 8x + 64 + 2x2

Reorder the terms:
-64 + 64 + 8x + 2x2 = -64 + 8x + 64 + 2x2

Combine like terms: -64 + 64 = 0
0 + 8x + 2x2 = -64 + 8x + 64 + 2x2
8x + 2x2 = -64 + 8x + 64 + 2x2

Reorder the terms:
8x + 2x2 = -64 + 64 + 8x + 2x2

Combine like terms: -64 + 64 = 0
8x + 2x2 = 0 + 8x + 2x2
8x + 2x2 = 8x + 2x2

Add '-8x' to each side of the equation.
8x + -8x + 2x2 = 8x + -8x + 2x2

Combine like terms: 8x + -8x = 0
0 + 2x2 = 8x + -8x + 2x2
2x2 = 8x + -8x + 2x2

Combine like terms: 8x + -8x = 0
2x2 = 0 + 2x2
2x2 = 2x2

Add '-2x2' to each side of the equation.
2x2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 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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