(5x+7)(4x-16)(5x+7)=180

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Solution for (5x+7)(4x-16)(5x+7)=180 equation: 


Simplifying
(5x + 7)(4x + -16)(5x + 7) = 180

Reorder the terms:
(7 + 5x)(4x + -16)(5x + 7) = 180

Reorder the terms:
(7 + 5x)(-16 + 4x)(5x + 7) = 180

Reorder the terms:
(7 + 5x)(-16 + 4x)(7 + 5x) = 180

Multiply (7 + 5x) * (-16 + 4x)
(7(-16 + 4x) + 5x * (-16 + 4x))(7 + 5x) = 180
((-16 * 7 + 4x * 7) + 5x * (-16 + 4x))(7 + 5x) = 180
((-112 + 28x) + 5x * (-16 + 4x))(7 + 5x) = 180
(-112 + 28x + (-16 * 5x + 4x * 5x))(7 + 5x) = 180
(-112 + 28x + (-80x + 20x2))(7 + 5x) = 180

Combine like terms: 28x + -80x = -52x
(-112 + -52x + 20x2)(7 + 5x) = 180

Multiply (-112 + -52x + 20x2) * (7 + 5x)
(-112(7 + 5x) + -52x * (7 + 5x) + 20x2 * (7 + 5x)) = 180
((7 * -112 + 5x * -112) + -52x * (7 + 5x) + 20x2 * (7 + 5x)) = 180
((-784 + -560x) + -52x * (7 + 5x) + 20x2 * (7 + 5x)) = 180
(-784 + -560x + (7 * -52x + 5x * -52x) + 20x2 * (7 + 5x)) = 180
(-784 + -560x + (-364x + -260x2) + 20x2 * (7 + 5x)) = 180
(-784 + -560x + -364x + -260x2 + (7 * 20x2 + 5x * 20x2)) = 180
(-784 + -560x + -364x + -260x2 + (140x2 + 100x3)) = 180

Combine like terms: -560x + -364x = -924x
(-784 + -924x + -260x2 + 140x2 + 100x3) = 180

Combine like terms: -260x2 + 140x2 = -120x2
(-784 + -924x + -120x2 + 100x3) = 180

Solving
-784 + -924x + -120x2 + 100x3 = 180

Solving for variable 'x'.

Reorder the terms:
-784 + -180 + -924x + -120x2 + 100x3 = 180 + -180

Combine like terms: -784 + -180 = -964
-964 + -924x + -120x2 + 100x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-964 + -924x + -120x2 + 100x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-241 + -231x + -30x2 + 25x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-241 + -231x + -30x2 + 25x3)' equal to zero and attempt to solve:

Simplifying
-241 + -231x + -30x2 + 25x3 = 0

Solving
-241 + -231x + -30x2 + 25x3 = 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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