8(2x-1)(2x-1)(2x-1)=0

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Solution for 8(2x-1)(2x-1)(2x-1)=0 equation: 


Simplifying
8(2x + -1)(2x + -1)(2x + -1) = 0

Reorder the terms:
8(-1 + 2x)(2x + -1)(2x + -1) = 0

Reorder the terms:
8(-1 + 2x)(-1 + 2x)(2x + -1) = 0

Reorder the terms:
8(-1 + 2x)(-1 + 2x)(-1 + 2x) = 0

Multiply (-1 + 2x) * (-1 + 2x)
8(-1(-1 + 2x) + 2x * (-1 + 2x))(-1 + 2x) = 0
8((-1 * -1 + 2x * -1) + 2x * (-1 + 2x))(-1 + 2x) = 0
8((1 + -2x) + 2x * (-1 + 2x))(-1 + 2x) = 0
8(1 + -2x + (-1 * 2x + 2x * 2x))(-1 + 2x) = 0
8(1 + -2x + (-2x + 4x2))(-1 + 2x) = 0

Combine like terms: -2x + -2x = -4x
8(1 + -4x + 4x2)(-1 + 2x) = 0

Multiply (1 + -4x + 4x2) * (-1 + 2x)
8(1(-1 + 2x) + -4x * (-1 + 2x) + 4x2 * (-1 + 2x)) = 0
8((-1 * 1 + 2x * 1) + -4x * (-1 + 2x) + 4x2 * (-1 + 2x)) = 0
8((-1 + 2x) + -4x * (-1 + 2x) + 4x2 * (-1 + 2x)) = 0
8(-1 + 2x + (-1 * -4x + 2x * -4x) + 4x2 * (-1 + 2x)) = 0
8(-1 + 2x + (4x + -8x2) + 4x2 * (-1 + 2x)) = 0
8(-1 + 2x + 4x + -8x2 + (-1 * 4x2 + 2x * 4x2)) = 0
8(-1 + 2x + 4x + -8x2 + (-4x2 + 8x3)) = 0

Combine like terms: 2x + 4x = 6x
8(-1 + 6x + -8x2 + -4x2 + 8x3) = 0

Combine like terms: -8x2 + -4x2 = -12x2
8(-1 + 6x + -12x2 + 8x3) = 0
(-1 * 8 + 6x * 8 + -12x2 * 8 + 8x3 * 8) = 0
(-8 + 48x + -96x2 + 64x3) = 0

Solving
-8 + 48x + -96x2 + 64x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + 6x + -12x2 + 8x3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-1 + 6x + -12x2 + 8x3)' equal to zero and attempt to solve:

Simplifying
-1 + 6x + -12x2 + 8x3 = 0

Solving
-1 + 6x + -12x2 + 8x3 = 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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