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

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


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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 144x3 + -144x3 = 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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