(2x-3)(2x-3)(2x-3)=7

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Solution for (2x-3)(2x-3)(2x-3)=7 equation: 


Simplifying
(2x + -3)(2x + -3)(2x + -3) = 7

Reorder the terms:
(-3 + 2x)(2x + -3)(2x + -3) = 7

Reorder the terms:
(-3 + 2x)(-3 + 2x)(2x + -3) = 7

Reorder the terms:
(-3 + 2x)(-3 + 2x)(-3 + 2x) = 7

Multiply (-3 + 2x) * (-3 + 2x)
(-3(-3 + 2x) + 2x * (-3 + 2x))(-3 + 2x) = 7
((-3 * -3 + 2x * -3) + 2x * (-3 + 2x))(-3 + 2x) = 7
((9 + -6x) + 2x * (-3 + 2x))(-3 + 2x) = 7
(9 + -6x + (-3 * 2x + 2x * 2x))(-3 + 2x) = 7
(9 + -6x + (-6x + 4x2))(-3 + 2x) = 7

Combine like terms: -6x + -6x = -12x
(9 + -12x + 4x2)(-3 + 2x) = 7

Multiply (9 + -12x + 4x2) * (-3 + 2x)
(9(-3 + 2x) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) = 7
((-3 * 9 + 2x * 9) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) = 7
((-27 + 18x) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) = 7
(-27 + 18x + (-3 * -12x + 2x * -12x) + 4x2 * (-3 + 2x)) = 7
(-27 + 18x + (36x + -24x2) + 4x2 * (-3 + 2x)) = 7
(-27 + 18x + 36x + -24x2 + (-3 * 4x2 + 2x * 4x2)) = 7
(-27 + 18x + 36x + -24x2 + (-12x2 + 8x3)) = 7

Combine like terms: 18x + 36x = 54x
(-27 + 54x + -24x2 + -12x2 + 8x3) = 7

Combine like terms: -24x2 + -12x2 = -36x2
(-27 + 54x + -36x2 + 8x3) = 7

Solving
-27 + 54x + -36x2 + 8x3 = 7

Solving for variable 'x'.

Reorder the terms:
-27 + -7 + 54x + -36x2 + 8x3 = 7 + -7

Combine like terms: -27 + -7 = -34
-34 + 54x + -36x2 + 8x3 = 7 + -7

Combine like terms: 7 + -7 = 0
-34 + 54x + -36x2 + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-17 + 27x + -18x2 + 4x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-17 + 27x + -18x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-17 + 27x + -18x2 + 4x3 = 0

Solving
-17 + 27x + -18x2 + 4x3 = 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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