3x^2-27=2x^3+7x^2-18x-63

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Solution for 3x^2-27=2x^3+7x^2-18x-63 equation: 


Simplifying
3x2 + -27 = 2x3 + 7x2 + -18x + -63

Reorder the terms:
-27 + 3x2 = 2x3 + 7x2 + -18x + -63

Reorder the terms:
-27 + 3x2 = -63 + -18x + 7x2 + 2x3

Solving
-27 + 3x2 = -63 + -18x + 7x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
-27 + 63 + 18x + 3x2 + -7x2 + -2x3 = -63 + -18x + 7x2 + 2x3 + 63 + 18x + -7x2 + -2x3

Combine like terms: -27 + 63 = 36
36 + 18x + 3x2 + -7x2 + -2x3 = -63 + -18x + 7x2 + 2x3 + 63 + 18x + -7x2 + -2x3

Combine like terms: 3x2 + -7x2 = -4x2
36 + 18x + -4x2 + -2x3 = -63 + -18x + 7x2 + 2x3 + 63 + 18x + -7x2 + -2x3

Reorder the terms:
36 + 18x + -4x2 + -2x3 = -63 + 63 + -18x + 18x + 7x2 + -7x2 + 2x3 + -2x3

Combine like terms: -63 + 63 = 0
36 + 18x + -4x2 + -2x3 = 0 + -18x + 18x + 7x2 + -7x2 + 2x3 + -2x3
36 + 18x + -4x2 + -2x3 = -18x + 18x + 7x2 + -7x2 + 2x3 + -2x3

Combine like terms: -18x + 18x = 0
36 + 18x + -4x2 + -2x3 = 0 + 7x2 + -7x2 + 2x3 + -2x3
36 + 18x + -4x2 + -2x3 = 7x2 + -7x2 + 2x3 + -2x3

Combine like terms: 7x2 + -7x2 = 0
36 + 18x + -4x2 + -2x3 = 0 + 2x3 + -2x3
36 + 18x + -4x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
36 + 18x + -4x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 9x + -2x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18 + 9x + -2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
18 + 9x + -2x2 + -1x3 = 0

Solving
18 + 9x + -2x2 + -1x3 = 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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