(2x-3)(2x-3)(2x-3)-(2x-3)=0

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Solution for (2x-3)(2x-3)(2x-3)-(2x-3)=0 equation: 


Simplifying
(2x + -3)(2x + -3)(2x + -3) + -1(2x + -3) = 0

Reorder the terms:
(-3 + 2x)(2x + -3)(2x + -3) + -1(2x + -3) = 0

Reorder the terms:
(-3 + 2x)(-3 + 2x)(2x + -3) + -1(2x + -3) = 0

Reorder the terms:
(-3 + 2x)(-3 + 2x)(-3 + 2x) + -1(2x + -3) = 0

Multiply (-3 + 2x) * (-3 + 2x)
(-3(-3 + 2x) + 2x * (-3 + 2x))(-3 + 2x) + -1(2x + -3) = 0
((-3 * -3 + 2x * -3) + 2x * (-3 + 2x))(-3 + 2x) + -1(2x + -3) = 0
((9 + -6x) + 2x * (-3 + 2x))(-3 + 2x) + -1(2x + -3) = 0
(9 + -6x + (-3 * 2x + 2x * 2x))(-3 + 2x) + -1(2x + -3) = 0
(9 + -6x + (-6x + 4x2))(-3 + 2x) + -1(2x + -3) = 0

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2)(-3 + 2x) + -1(2x + -3) = 0

Multiply (9 + -12x + 4x2) * (-3 + 2x)
(9(-3 + 2x) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) + -1(2x + -3) = 0
((-3 * 9 + 2x * 9) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) + -1(2x + -3) = 0
((-27 + 18x) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) + -1(2x + -3) = 0
(-27 + 18x + (-3 * -12x + 2x * -12x) + 4x2 * (-3 + 2x)) + -1(2x + -3) = 0
(-27 + 18x + (36x + -24x2) + 4x2 * (-3 + 2x)) + -1(2x + -3) = 0
(-27 + 18x + 36x + -24x2 + (-3 * 4x2 + 2x * 4x2)) + -1(2x + -3) = 0
(-27 + 18x + 36x + -24x2 + (-12x2 + 8x3)) + -1(2x + -3) = 0

Combine like terms: 18x + 36x = 54x
(-27 + 54x + -24x2 + -12x2 + 8x3) + -1(2x + -3) = 0

Combine like terms: -24x2 + -12x2 = -36x2
(-27 + 54x + -36x2 + 8x3) + -1(2x + -3) = 0

Reorder the terms:
-27 + 54x + -36x2 + 8x3 + -1(-3 + 2x) = 0
-27 + 54x + -36x2 + 8x3 + (-3 * -1 + 2x * -1) = 0
-27 + 54x + -36x2 + 8x3 + (3 + -2x) = 0

Reorder the terms:
-27 + 3 + 54x + -2x + -36x2 + 8x3 = 0

Combine like terms: -27 + 3 = -24
-24 + 54x + -2x + -36x2 + 8x3 = 0

Combine like terms: 54x + -2x = 52x
-24 + 52x + -36x2 + 8x3 = 0

Solving
-24 + 52x + -36x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 13x + -9x2 + 2x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-6 + 13x + -9x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-6 + 13x + -9x2 + 2x3 = 0

Solving
-6 + 13x + -9x2 + 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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