(12x-15)(12x-21)x=945

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Solution for (12x-15)(12x-21)x=945 equation:


Simplifying
(12x + -15)(12x + -21) * x = 945

Reorder the terms:
(-15 + 12x)(12x + -21) * x = 945

Reorder the terms:
(-15 + 12x)(-21 + 12x) * x = 945

Reorder the terms for easier multiplication:
x(-15 + 12x)(-21 + 12x) = 945

Multiply (-15 + 12x) * (-21 + 12x)
x(-15(-21 + 12x) + 12x * (-21 + 12x)) = 945
x((-21 * -15 + 12x * -15) + 12x * (-21 + 12x)) = 945
x((315 + -180x) + 12x * (-21 + 12x)) = 945
x(315 + -180x + (-21 * 12x + 12x * 12x)) = 945
x(315 + -180x + (-252x + 144x2)) = 945

Combine like terms: -180x + -252x = -432x
x(315 + -432x + 144x2) = 945
(315 * x + -432x * x + 144x2 * x) = 945
(315x + -432x2 + 144x3) = 945

Solving
315x + -432x2 + 144x3 = 945

Solving for variable 'x'.

Reorder the terms:
-945 + 315x + -432x2 + 144x3 = 945 + -945

Combine like terms: 945 + -945 = 0
-945 + 315x + -432x2 + 144x3 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-105 + 35x + -48x2 + 16x3) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(-105 + 35x + -48x2 + 16x3)' equal to zero and attempt to solve: Simplifying -105 + 35x + -48x2 + 16x3 = 0 Solving -105 + 35x + -48x2 + 16x3 = 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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