x(3x+54)(2x)=360

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Solution for x(3x+54)(2x)=360 equation:


Simplifying
x(3x + 54)(2x) = 360

Reorder the terms:
x(54 + 3x)(2x) = 360

Remove parenthesis around (2x)
x(54 + 3x) * 2x = 360

Reorder the terms for easier multiplication:
2x * x(54 + 3x) = 360

Multiply x * x
2x2(54 + 3x) = 360
(54 * 2x2 + 3x * 2x2) = 360
(108x2 + 6x3) = 360

Solving
108x2 + 6x3 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + 108x2 + 6x3 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + 108x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-60 + 18x2 + x3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-60 + 18x2 + x3)' equal to zero and attempt to solve: Simplifying -60 + 18x2 + x3 = 0 Solving -60 + 18x2 + x3 = 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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