2x^2(x+3)=18(x+3)

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Solution for 2x^2(x+3)=18(x+3) equation: 


Simplifying
2x2(x + 3) = 18(x + 3)

Reorder the terms:
2x2(3 + x) = 18(x + 3)
(3 * 2x2 + x * 2x2) = 18(x + 3)
(6x2 + 2x3) = 18(x + 3)

Reorder the terms:
6x2 + 2x3 = 18(3 + x)
6x2 + 2x3 = (3 * 18 + x * 18)
6x2 + 2x3 = (54 + 18x)

Solving
6x2 + 2x3 = 54 + 18x

Solving for variable 'x'.

Reorder the terms:
-54 + -18x + 6x2 + 2x3 = 54 + 18x + -54 + -18x

Reorder the terms:
-54 + -18x + 6x2 + 2x3 = 54 + -54 + 18x + -18x

Combine like terms: 54 + -54 = 0
-54 + -18x + 6x2 + 2x3 = 0 + 18x + -18x
-54 + -18x + 6x2 + 2x3 = 18x + -18x

Combine like terms: 18x + -18x = 0
-54 + -18x + 6x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + -9x + 3x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-27 + -9x + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-27 + -9x + 3x2 + x3 = 0

Solving
-27 + -9x + 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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