(6x-58)(2x+4)5x=180

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Solution for (6x-58)(2x+4)5x=180 equation:


Simplifying
(6x + -58)(2x + 4) * 5x = 180

Reorder the terms:
(-58 + 6x)(2x + 4) * 5x = 180

Reorder the terms:
(-58 + 6x)(4 + 2x) * 5x = 180

Reorder the terms for easier multiplication:
5x(-58 + 6x)(4 + 2x) = 180

Multiply (-58 + 6x) * (4 + 2x)
5x(-58(4 + 2x) + 6x * (4 + 2x)) = 180
5x((4 * -58 + 2x * -58) + 6x * (4 + 2x)) = 180
5x((-232 + -116x) + 6x * (4 + 2x)) = 180
5x(-232 + -116x + (4 * 6x + 2x * 6x)) = 180
5x(-232 + -116x + (24x + 12x2)) = 180

Combine like terms: -116x + 24x = -92x
5x(-232 + -92x + 12x2) = 180
(-232 * 5x + -92x * 5x + 12x2 * 5x) = 180
(-1160x + -460x2 + 60x3) = 180

Solving
-1160x + -460x2 + 60x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + -1160x + -460x2 + 60x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -1160x + -460x2 + 60x3 = 0

Factor out the Greatest Common Factor (GCF), '20'.
20(-9 + -58x + -23x2 + 3x3) = 0

Ignore the factor 20.

Subproblem 1

Set the factor '(-9 + -58x + -23x2 + 3x3)' equal to zero and attempt to solve: Simplifying -9 + -58x + -23x2 + 3x3 = 0 Solving -9 + -58x + -23x2 + 3x3 = 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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