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

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


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

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

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

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

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

Multiply (64x + 8x2) * (-2 + x)
8 + 4x = (64x * (-2 + x) + 8x2 * (-2 + x))(-2 + x)
8 + 4x = ((-2 * 64x + x * 64x) + 8x2 * (-2 + x))(-2 + x)
8 + 4x = ((-128x + 64x2) + 8x2 * (-2 + x))(-2 + x)
8 + 4x = (-128x + 64x2 + (-2 * 8x2 + x * 8x2))(-2 + x)
8 + 4x = (-128x + 64x2 + (-16x2 + 8x3))(-2 + x)

Combine like terms: 64x2 + -16x2 = 48x2
8 + 4x = (-128x + 48x2 + 8x3)(-2 + x)

Multiply (-128x + 48x2 + 8x3) * (-2 + x)
8 + 4x = (-128x * (-2 + x) + 48x2 * (-2 + x) + 8x3 * (-2 + x))
8 + 4x = ((-2 * -128x + x * -128x) + 48x2 * (-2 + x) + 8x3 * (-2 + x))
8 + 4x = ((256x + -128x2) + 48x2 * (-2 + x) + 8x3 * (-2 + x))
8 + 4x = (256x + -128x2 + (-2 * 48x2 + x * 48x2) + 8x3 * (-2 + x))
8 + 4x = (256x + -128x2 + (-96x2 + 48x3) + 8x3 * (-2 + x))
8 + 4x = (256x + -128x2 + -96x2 + 48x3 + (-2 * 8x3 + x * 8x3))
8 + 4x = (256x + -128x2 + -96x2 + 48x3 + (-16x3 + 8x4))

Combine like terms: -128x2 + -96x2 = -224x2
8 + 4x = (256x + -224x2 + 48x3 + -16x3 + 8x4)

Combine like terms: 48x3 + -16x3 = 32x3
8 + 4x = (256x + -224x2 + 32x3 + 8x4)

Solving
8 + 4x = 256x + -224x2 + 32x3 + 8x4

Solving for variable 'x'.

Combine like terms: 4x + -256x = -252x
8 + -252x + 224x2 + -32x3 + -8x4 = 256x + -224x2 + 32x3 + 8x4 + -256x + 224x2 + -32x3 + -8x4

Reorder the terms:
8 + -252x + 224x2 + -32x3 + -8x4 = 256x + -256x + -224x2 + 224x2 + 32x3 + -32x3 + 8x4 + -8x4

Combine like terms: 256x + -256x = 0
8 + -252x + 224x2 + -32x3 + -8x4 = 0 + -224x2 + 224x2 + 32x3 + -32x3 + 8x4 + -8x4
8 + -252x + 224x2 + -32x3 + -8x4 = -224x2 + 224x2 + 32x3 + -32x3 + 8x4 + -8x4

Combine like terms: -224x2 + 224x2 = 0
8 + -252x + 224x2 + -32x3 + -8x4 = 0 + 32x3 + -32x3 + 8x4 + -8x4
8 + -252x + 224x2 + -32x3 + -8x4 = 32x3 + -32x3 + 8x4 + -8x4

Combine like terms: 32x3 + -32x3 = 0
8 + -252x + 224x2 + -32x3 + -8x4 = 0 + 8x4 + -8x4
8 + -252x + 224x2 + -32x3 + -8x4 = 8x4 + -8x4

Combine like terms: 8x4 + -8x4 = 0
8 + -252x + 224x2 + -32x3 + -8x4 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -63x + 56x2 + -8x3 + -2x4) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + -63x + 56x2 + -8x3 + -2x4)' equal to zero and attempt to solve: Simplifying 2 + -63x + 56x2 + -8x3 + -2x4 = 0 Solving 2 + -63x + 56x2 + -8x3 + -2x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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