2z^4-6x^3=12x^2-36x

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Solution for 2z^4-6x^3=12x^2-36x equation: 


Simplifying
2z4 + -6x3 = 12x2 + -36x

Reorder the terms:
-6x3 + 2z4 = 12x2 + -36x

Reorder the terms:
-6x3 + 2z4 = -36x + 12x2

Solving
-6x3 + 2z4 = -36x + 12x2

Solving for variable 'x'.

Reorder the terms:
36x + -12x2 + -6x3 + 2z4 = -36x + 12x2 + 36x + -12x2

Reorder the terms:
36x + -12x2 + -6x3 + 2z4 = -36x + 36x + 12x2 + -12x2

Combine like terms: -36x + 36x = 0
36x + -12x2 + -6x3 + 2z4 = 0 + 12x2 + -12x2
36x + -12x2 + -6x3 + 2z4 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
36x + -12x2 + -6x3 + 2z4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18x + -6x2 + -3x3 + z4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(18x + -6x2 + -3x3 + z4)' equal to zero and attempt to solve:

Simplifying
18x + -6x2 + -3x3 + z4 = 0

Solving
18x + -6x2 + -3x3 + z4 = 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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