(2x-1)=(2x+3)(2x-3)(2x-3)

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Solution for (2x-1)=(2x+3)(2x-3)(2x-3) equation: 


Simplifying
(2x + -1) = (2x + 3)(2x + -3)(2x + -3)

Reorder the terms:
(-1 + 2x) = (2x + 3)(2x + -3)(2x + -3)

Remove parenthesis around (-1 + 2x)
-1 + 2x = (2x + 3)(2x + -3)(2x + -3)

Reorder the terms:
-1 + 2x = (3 + 2x)(2x + -3)(2x + -3)

Reorder the terms:
-1 + 2x = (3 + 2x)(-3 + 2x)(2x + -3)

Reorder the terms:
-1 + 2x = (3 + 2x)(-3 + 2x)(-3 + 2x)

Multiply (3 + 2x) * (-3 + 2x)
-1 + 2x = (3(-3 + 2x) + 2x * (-3 + 2x))(-3 + 2x)
-1 + 2x = ((-3 * 3 + 2x * 3) + 2x * (-3 + 2x))(-3 + 2x)
-1 + 2x = ((-9 + 6x) + 2x * (-3 + 2x))(-3 + 2x)
-1 + 2x = (-9 + 6x + (-3 * 2x + 2x * 2x))(-3 + 2x)
-1 + 2x = (-9 + 6x + (-6x + 4x2))(-3 + 2x)

Combine like terms: 6x + -6x = 0
-1 + 2x = (-9 + 0 + 4x2)(-3 + 2x)
-1 + 2x = (-9 + 4x2)(-3 + 2x)

Multiply (-9 + 4x2) * (-3 + 2x)
-1 + 2x = (-9(-3 + 2x) + 4x2 * (-3 + 2x))
-1 + 2x = ((-3 * -9 + 2x * -9) + 4x2 * (-3 + 2x))
-1 + 2x = ((27 + -18x) + 4x2 * (-3 + 2x))
-1 + 2x = (27 + -18x + (-3 * 4x2 + 2x * 4x2))
-1 + 2x = (27 + -18x + (-12x2 + 8x3))
-1 + 2x = (27 + -18x + -12x2 + 8x3)

Solving
-1 + 2x = 27 + -18x + -12x2 + 8x3

Solving for variable 'x'.

Reorder the terms:
-1 + -27 + 2x + 18x + 12x2 + -8x3 = 27 + -18x + -12x2 + 8x3 + -27 + 18x + 12x2 + -8x3

Combine like terms: -1 + -27 = -28
-28 + 2x + 18x + 12x2 + -8x3 = 27 + -18x + -12x2 + 8x3 + -27 + 18x + 12x2 + -8x3

Combine like terms: 2x + 18x = 20x
-28 + 20x + 12x2 + -8x3 = 27 + -18x + -12x2 + 8x3 + -27 + 18x + 12x2 + -8x3

Reorder the terms:
-28 + 20x + 12x2 + -8x3 = 27 + -27 + -18x + 18x + -12x2 + 12x2 + 8x3 + -8x3

Combine like terms: 27 + -27 = 0
-28 + 20x + 12x2 + -8x3 = 0 + -18x + 18x + -12x2 + 12x2 + 8x3 + -8x3
-28 + 20x + 12x2 + -8x3 = -18x + 18x + -12x2 + 12x2 + 8x3 + -8x3

Combine like terms: -18x + 18x = 0
-28 + 20x + 12x2 + -8x3 = 0 + -12x2 + 12x2 + 8x3 + -8x3
-28 + 20x + 12x2 + -8x3 = -12x2 + 12x2 + 8x3 + -8x3

Combine like terms: -12x2 + 12x2 = 0
-28 + 20x + 12x2 + -8x3 = 0 + 8x3 + -8x3
-28 + 20x + 12x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
-28 + 20x + 12x2 + -8x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + 5x + 3x2 + -2x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + 5x + 3x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-7 + 5x + 3x2 + -2x3 = 0

Solving
-7 + 5x + 3x2 + -2x3 = 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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