(9x+3)(6x-3)(3x)=180

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Solution for (9x+3)(6x-3)(3x)=180 equation:


Simplifying
(9x + 3)(6x + -3)(3x) = 180

Reorder the terms:
(3 + 9x)(6x + -3)(3x) = 180

Reorder the terms:
(3 + 9x)(-3 + 6x)(3x) = 180

Remove parenthesis around (3x)
(3 + 9x)(-3 + 6x) * 3x = 180

Reorder the terms for easier multiplication:
3x(3 + 9x)(-3 + 6x) = 180

Multiply (3 + 9x) * (-3 + 6x)
3x(3(-3 + 6x) + 9x * (-3 + 6x)) = 180
3x((-3 * 3 + 6x * 3) + 9x * (-3 + 6x)) = 180
3x((-9 + 18x) + 9x * (-3 + 6x)) = 180
3x(-9 + 18x + (-3 * 9x + 6x * 9x)) = 180
3x(-9 + 18x + (-27x + 54x2)) = 180

Combine like terms: 18x + -27x = -9x
3x(-9 + -9x + 54x2) = 180
(-9 * 3x + -9x * 3x + 54x2 * 3x) = 180
(-27x + -27x2 + 162x3) = 180

Solving
-27x + -27x2 + 162x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -27x + -27x2 + 162x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -27x + -27x2 + 162x3 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-20 + -3x + -3x2 + 18x3) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(-20 + -3x + -3x2 + 18x3)' equal to zero and attempt to solve: Simplifying -20 + -3x + -3x2 + 18x3 = 0 Solving -20 + -3x + -3x2 + 18x3 = 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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