528=(5x-4)(20x-44)(x)

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Solution for 528=(5x-4)(20x-44)(x) equation: 


Simplifying
528 = (5x + -4)(20x + -44)(x)

Reorder the terms:
528 = (-4 + 5x)(20x + -44)(x)

Reorder the terms:
528 = (-4 + 5x)(-44 + 20x)(x)

Reorder the terms for easier multiplication:
528 = x(-4 + 5x)(-44 + 20x)

Multiply (-4 + 5x) * (-44 + 20x)
528 = x(-4(-44 + 20x) + 5x * (-44 + 20x))
528 = x((-44 * -4 + 20x * -4) + 5x * (-44 + 20x))
528 = x((176 + -80x) + 5x * (-44 + 20x))
528 = x(176 + -80x + (-44 * 5x + 20x * 5x))
528 = x(176 + -80x + (-220x + 100x2))

Combine like terms: -80x + -220x = -300x
528 = x(176 + -300x + 100x2)
528 = (176 * x + -300x * x + 100x2 * x)
528 = (176x + -300x2 + 100x3)

Solving
528 = 176x + -300x2 + 100x3

Solving for variable 'x'.

Reorder the terms:
528 + -176x + 300x2 + -100x3 = 176x + -176x + -300x2 + 300x2 + 100x3 + -100x3

Combine like terms: 176x + -176x = 0
528 + -176x + 300x2 + -100x3 = 0 + -300x2 + 300x2 + 100x3 + -100x3
528 + -176x + 300x2 + -100x3 = -300x2 + 300x2 + 100x3 + -100x3

Combine like terms: -300x2 + 300x2 = 0
528 + -176x + 300x2 + -100x3 = 0 + 100x3 + -100x3
528 + -176x + 300x2 + -100x3 = 100x3 + -100x3

Combine like terms: 100x3 + -100x3 = 0
528 + -176x + 300x2 + -100x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(132 + -44x + 75x2 + -25x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(132 + -44x + 75x2 + -25x3)' equal to zero and attempt to solve:

Simplifying
132 + -44x + 75x2 + -25x3 = 0

Solving
132 + -44x + 75x2 + -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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