(3x)(x+8)x=120

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Solution for (3x)(x+8)x=120 equation: 


Simplifying
(3x)(x + 8) * x = 120

Remove parenthesis around (3x)
3x(x + 8) * x = 120

Reorder the terms:
3x(8 + x) * x = 120

Reorder the terms for easier multiplication:
3x * x(8 + x) = 120

Multiply x * x
3x2(8 + x) = 120
(8 * 3x2 + x * 3x2) = 120
(24x2 + 3x3) = 120

Solving
24x2 + 3x3 = 120

Solving for variable 'x'.

Reorder the terms:
-120 + 24x2 + 3x3 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 24x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-40 + 8x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-40 + 8x2 + x3)' equal to zero and attempt to solve:

Simplifying
-40 + 8x2 + x3 = 0

Solving
-40 + 8x2 + 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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