(6x-3)(6x-3)(6x-3)=45

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Solution for (6x-3)(6x-3)(6x-3)=45 equation: 


Simplifying
(6x + -3)(6x + -3)(6x + -3) = 45

Reorder the terms:
(-3 + 6x)(6x + -3)(6x + -3) = 45

Reorder the terms:
(-3 + 6x)(-3 + 6x)(6x + -3) = 45

Reorder the terms:
(-3 + 6x)(-3 + 6x)(-3 + 6x) = 45

Multiply (-3 + 6x) * (-3 + 6x)
(-3(-3 + 6x) + 6x * (-3 + 6x))(-3 + 6x) = 45
((-3 * -3 + 6x * -3) + 6x * (-3 + 6x))(-3 + 6x) = 45
((9 + -18x) + 6x * (-3 + 6x))(-3 + 6x) = 45
(9 + -18x + (-3 * 6x + 6x * 6x))(-3 + 6x) = 45
(9 + -18x + (-18x + 36x2))(-3 + 6x) = 45

Combine like terms: -18x + -18x = -36x
(9 + -36x + 36x2)(-3 + 6x) = 45

Multiply (9 + -36x + 36x2) * (-3 + 6x)
(9(-3 + 6x) + -36x * (-3 + 6x) + 36x2 * (-3 + 6x)) = 45
((-3 * 9 + 6x * 9) + -36x * (-3 + 6x) + 36x2 * (-3 + 6x)) = 45
((-27 + 54x) + -36x * (-3 + 6x) + 36x2 * (-3 + 6x)) = 45
(-27 + 54x + (-3 * -36x + 6x * -36x) + 36x2 * (-3 + 6x)) = 45
(-27 + 54x + (108x + -216x2) + 36x2 * (-3 + 6x)) = 45
(-27 + 54x + 108x + -216x2 + (-3 * 36x2 + 6x * 36x2)) = 45
(-27 + 54x + 108x + -216x2 + (-108x2 + 216x3)) = 45

Combine like terms: 54x + 108x = 162x
(-27 + 162x + -216x2 + -108x2 + 216x3) = 45

Combine like terms: -216x2 + -108x2 = -324x2
(-27 + 162x + -324x2 + 216x3) = 45

Solving
-27 + 162x + -324x2 + 216x3 = 45

Solving for variable 'x'.

Reorder the terms:
-27 + -45 + 162x + -324x2 + 216x3 = 45 + -45

Combine like terms: -27 + -45 = -72
-72 + 162x + -324x2 + 216x3 = 45 + -45

Combine like terms: 45 + -45 = 0
-72 + 162x + -324x2 + 216x3 = 0

Factor out the Greatest Common Factor (GCF), '18'.
18(-4 + 9x + -18x2 + 12x3) = 0

Ignore the factor 18.

Subproblem 1
Set the factor '(-4 + 9x + -18x2 + 12x3)' equal to zero and attempt to solve:

Simplifying
-4 + 9x + -18x2 + 12x3 = 0

Solving
-4 + 9x + -18x2 + 12x3 = 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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