(4x-1)(4x^2-2x+4)=0

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Solution for (4x-1)(4x^2-2x+4)=0 equation:


Simplifying
(4x + -1)(4x2 + -2x + 4) = 0

Reorder the terms:
(-1 + 4x)(4x2 + -2x + 4) = 0

Reorder the terms:
(-1 + 4x)(4 + -2x + 4x2) = 0

Multiply (-1 + 4x) * (4 + -2x + 4x2)
(-1(4 + -2x + 4x2) + 4x * (4 + -2x + 4x2)) = 0
((4 * -1 + -2x * -1 + 4x2 * -1) + 4x * (4 + -2x + 4x2)) = 0
((-4 + 2x + -4x2) + 4x * (4 + -2x + 4x2)) = 0
(-4 + 2x + -4x2 + (4 * 4x + -2x * 4x + 4x2 * 4x)) = 0
(-4 + 2x + -4x2 + (16x + -8x2 + 16x3)) = 0

Reorder the terms:
(-4 + 2x + 16x + -4x2 + -8x2 + 16x3) = 0

Combine like terms: 2x + 16x = 18x
(-4 + 18x + -4x2 + -8x2 + 16x3) = 0

Combine like terms: -4x2 + -8x2 = -12x2
(-4 + 18x + -12x2 + 16x3) = 0

Solving
-4 + 18x + -12x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 9x + -6x2 + 8x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 9x + -6x2 + 8x3)' equal to zero and attempt to solve: Simplifying -2 + 9x + -6x2 + 8x3 = 0 Solving -2 + 9x + -6x2 + 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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