(x)(2x)(2x+3)=48

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Solution for (x)(2x)(2x+3)=48 equation: 


Simplifying
(x)(2x)(2x + 3) = 48

Remove parenthesis around (2x)
x * 2x(2x + 3) = 48

Reorder the terms:
x * 2x(3 + 2x) = 48

Reorder the terms for easier multiplication:
2x * x(3 + 2x) = 48

Multiply x * x
2x2(3 + 2x) = 48
(3 * 2x2 + 2x * 2x2) = 48
(6x2 + 4x3) = 48

Solving
6x2 + 4x3 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 6x2 + 4x3 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 6x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 3x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-24 + 3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-24 + 3x2 + 2x3 = 0

Solving
-24 + 3x2 + 2x3 = 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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