(4x-1)(4x-1)(4x-1)=343

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Solution for (4x-1)(4x-1)(4x-1)=343 equation: 


Simplifying
(4x + -1)(4x + -1)(4x + -1) = 343

Reorder the terms:
(-1 + 4x)(4x + -1)(4x + -1) = 343

Reorder the terms:
(-1 + 4x)(-1 + 4x)(4x + -1) = 343

Reorder the terms:
(-1 + 4x)(-1 + 4x)(-1 + 4x) = 343

Multiply (-1 + 4x) * (-1 + 4x)
(-1(-1 + 4x) + 4x * (-1 + 4x))(-1 + 4x) = 343
((-1 * -1 + 4x * -1) + 4x * (-1 + 4x))(-1 + 4x) = 343
((1 + -4x) + 4x * (-1 + 4x))(-1 + 4x) = 343
(1 + -4x + (-1 * 4x + 4x * 4x))(-1 + 4x) = 343
(1 + -4x + (-4x + 16x2))(-1 + 4x) = 343

Combine like terms: -4x + -4x = -8x
(1 + -8x + 16x2)(-1 + 4x) = 343

Multiply (1 + -8x + 16x2) * (-1 + 4x)
(1(-1 + 4x) + -8x * (-1 + 4x) + 16x2 * (-1 + 4x)) = 343
((-1 * 1 + 4x * 1) + -8x * (-1 + 4x) + 16x2 * (-1 + 4x)) = 343
((-1 + 4x) + -8x * (-1 + 4x) + 16x2 * (-1 + 4x)) = 343
(-1 + 4x + (-1 * -8x + 4x * -8x) + 16x2 * (-1 + 4x)) = 343
(-1 + 4x + (8x + -32x2) + 16x2 * (-1 + 4x)) = 343
(-1 + 4x + 8x + -32x2 + (-1 * 16x2 + 4x * 16x2)) = 343
(-1 + 4x + 8x + -32x2 + (-16x2 + 64x3)) = 343

Combine like terms: 4x + 8x = 12x
(-1 + 12x + -32x2 + -16x2 + 64x3) = 343

Combine like terms: -32x2 + -16x2 = -48x2
(-1 + 12x + -48x2 + 64x3) = 343

Solving
-1 + 12x + -48x2 + 64x3 = 343

Solving for variable 'x'.

Reorder the terms:
-1 + -343 + 12x + -48x2 + 64x3 = 343 + -343

Combine like terms: -1 + -343 = -344
-344 + 12x + -48x2 + 64x3 = 343 + -343

Combine like terms: 343 + -343 = 0
-344 + 12x + -48x2 + 64x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-86 + 3x + -12x2 + 16x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-86 + 3x + -12x2 + 16x3)' equal to zero and attempt to solve:

Simplifying
-86 + 3x + -12x2 + 16x3 = 0

Solving
-86 + 3x + -12x2 + 16x3 = 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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