945=(4x-5)*(4x-7)*(9x)

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Solution for 945=(4x-5)*(4x-7)*(9x) equation: 


Simplifying
945 = (4x + -5)(4x + -7)(9x)

Reorder the terms:
945 = (-5 + 4x)(4x + -7)(9x)

Reorder the terms:
945 = (-5 + 4x)(-7 + 4x)(9x)

Remove parenthesis around (9x)
945 = (-5 + 4x)(-7 + 4x) * 9x

Reorder the terms for easier multiplication:
945 = 9x(-5 + 4x)(-7 + 4x)

Multiply (-5 + 4x) * (-7 + 4x)
945 = 9x(-5(-7 + 4x) + 4x * (-7 + 4x))
945 = 9x((-7 * -5 + 4x * -5) + 4x * (-7 + 4x))
945 = 9x((35 + -20x) + 4x * (-7 + 4x))
945 = 9x(35 + -20x + (-7 * 4x + 4x * 4x))
945 = 9x(35 + -20x + (-28x + 16x2))

Combine like terms: -20x + -28x = -48x
945 = 9x(35 + -48x + 16x2)
945 = (35 * 9x + -48x * 9x + 16x2 * 9x)
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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