(12x-1)(6x-1)(4x-1)(2x-1)=5

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Solution for (12x-1)(6x-1)(4x-1)(2x-1)=5 equation:


Simplifying
(12x + -1)(6x + -1)(4x + -1)(2x + -1) = 5

Reorder the terms:
(-1 + 12x)(6x + -1)(4x + -1)(2x + -1) = 5

Reorder the terms:
(-1 + 12x)(-1 + 6x)(4x + -1)(2x + -1) = 5

Reorder the terms:
(-1 + 12x)(-1 + 6x)(-1 + 4x)(2x + -1) = 5

Reorder the terms:
(-1 + 12x)(-1 + 6x)(-1 + 4x)(-1 + 2x) = 5

Multiply (-1 + 12x) * (-1 + 6x)
(-1(-1 + 6x) + 12x * (-1 + 6x))(-1 + 4x)(-1 + 2x) = 5
((-1 * -1 + 6x * -1) + 12x * (-1 + 6x))(-1 + 4x)(-1 + 2x) = 5
((1 + -6x) + 12x * (-1 + 6x))(-1 + 4x)(-1 + 2x) = 5
(1 + -6x + (-1 * 12x + 6x * 12x))(-1 + 4x)(-1 + 2x) = 5
(1 + -6x + (-12x + 72x2))(-1 + 4x)(-1 + 2x) = 5

Combine like terms: -6x + -12x = -18x
(1 + -18x + 72x2)(-1 + 4x)(-1 + 2x) = 5

Multiply (1 + -18x + 72x2) * (-1 + 4x)
(1(-1 + 4x) + -18x * (-1 + 4x) + 72x2 * (-1 + 4x))(-1 + 2x) = 5
((-1 * 1 + 4x * 1) + -18x * (-1 + 4x) + 72x2 * (-1 + 4x))(-1 + 2x) = 5
((-1 + 4x) + -18x * (-1 + 4x) + 72x2 * (-1 + 4x))(-1 + 2x) = 5
(-1 + 4x + (-1 * -18x + 4x * -18x) + 72x2 * (-1 + 4x))(-1 + 2x) = 5
(-1 + 4x + (18x + -72x2) + 72x2 * (-1 + 4x))(-1 + 2x) = 5
(-1 + 4x + 18x + -72x2 + (-1 * 72x2 + 4x * 72x2))(-1 + 2x) = 5
(-1 + 4x + 18x + -72x2 + (-72x2 + 288x3))(-1 + 2x) = 5

Combine like terms: 4x + 18x = 22x
(-1 + 22x + -72x2 + -72x2 + 288x3)(-1 + 2x) = 5

Combine like terms: -72x2 + -72x2 = -144x2
(-1 + 22x + -144x2 + 288x3)(-1 + 2x) = 5

Multiply (-1 + 22x + -144x2 + 288x3) * (-1 + 2x)
(-1(-1 + 2x) + 22x * (-1 + 2x) + -144x2 * (-1 + 2x) + 288x3 * (-1 + 2x)) = 5
((-1 * -1 + 2x * -1) + 22x * (-1 + 2x) + -144x2 * (-1 + 2x) + 288x3 * (-1 + 2x)) = 5
((1 + -2x) + 22x * (-1 + 2x) + -144x2 * (-1 + 2x) + 288x3 * (-1 + 2x)) = 5
(1 + -2x + (-1 * 22x + 2x * 22x) + -144x2 * (-1 + 2x) + 288x3 * (-1 + 2x)) = 5
(1 + -2x + (-22x + 44x2) + -144x2 * (-1 + 2x) + 288x3 * (-1 + 2x)) = 5
(1 + -2x + -22x + 44x2 + (-1 * -144x2 + 2x * -144x2) + 288x3 * (-1 + 2x)) = 5
(1 + -2x + -22x + 44x2 + (144x2 + -288x3) + 288x3 * (-1 + 2x)) = 5
(1 + -2x + -22x + 44x2 + 144x2 + -288x3 + (-1 * 288x3 + 2x * 288x3)) = 5
(1 + -2x + -22x + 44x2 + 144x2 + -288x3 + (-288x3 + 576x4)) = 5

Combine like terms: -2x + -22x = -24x
(1 + -24x + 44x2 + 144x2 + -288x3 + -288x3 + 576x4) = 5

Combine like terms: 44x2 + 144x2 = 188x2
(1 + -24x + 188x2 + -288x3 + -288x3 + 576x4) = 5

Combine like terms: -288x3 + -288x3 = -576x3
(1 + -24x + 188x2 + -576x3 + 576x4) = 5

Solving
1 + -24x + 188x2 + -576x3 + 576x4 = 5

Solving for variable 'x'.

Reorder the terms:
1 + -5 + -24x + 188x2 + -576x3 + 576x4 = 5 + -5

Combine like terms: 1 + -5 = -4
-4 + -24x + 188x2 + -576x3 + 576x4 = 5 + -5

Combine like terms: 5 + -5 = 0
-4 + -24x + 188x2 + -576x3 + 576x4 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -6x + 47x2 + -144x3 + 144x4) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -6x + 47x2 + -144x3 + 144x4)' equal to zero and attempt to solve: Simplifying -1 + -6x + 47x2 + -144x3 + 144x4 = 0 Solving -1 + -6x + 47x2 + -144x3 + 144x4 = 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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