2x(x+7)(4x-16)=180

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Solution for 2x(x+7)(4x-16)=180 equation:


Simplifying
2x(x + 7)(4x + -16) = 180

Reorder the terms:
2x(7 + x)(4x + -16) = 180

Reorder the terms:
2x(7 + x)(-16 + 4x) = 180

Multiply (7 + x) * (-16 + 4x)
2x(7(-16 + 4x) + x(-16 + 4x)) = 180
2x((-16 * 7 + 4x * 7) + x(-16 + 4x)) = 180
2x((-112 + 28x) + x(-16 + 4x)) = 180
2x(-112 + 28x + (-16 * x + 4x * x)) = 180
2x(-112 + 28x + (-16x + 4x2)) = 180

Combine like terms: 28x + -16x = 12x
2x(-112 + 12x + 4x2) = 180
(-112 * 2x + 12x * 2x + 4x2 * 2x) = 180
(-224x + 24x2 + 8x3) = 180

Solving
-224x + 24x2 + 8x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -224x + 24x2 + 8x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -224x + 24x2 + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-45 + -56x + 6x2 + 2x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-45 + -56x + 6x2 + 2x3)' equal to zero and attempt to solve: Simplifying -45 + -56x + 6x2 + 2x3 = 0 Solving -45 + -56x + 6x2 + 2x3 = 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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