(6+2x)(3x)x=120

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Solution for (6+2x)(3x)x=120 equation: 


Simplifying
(6 + 2x)(3x) * x = 120

Remove parenthesis around (3x)
(6 + 2x) * 3x * x = 120

Reorder the terms for easier multiplication:
3x * x(6 + 2x) = 120

Multiply x * x
3x2(6 + 2x) = 120
(6 * 3x2 + 2x * 3x2) = 120
(18x2 + 6x3) = 120

Solving
18x2 + 6x3 = 120

Solving for variable 'x'.

Reorder the terms:
-120 + 18x2 + 6x3 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 18x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-20 + 3x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-20 + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-20 + 3x2 + x3 = 0

Solving
-20 + 3x2 + 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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