0=4x^4-18x^3+34x^2-72x+72

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Solution for 0=4x^4-18x^3+34x^2-72x+72 equation: 


Simplifying
0 = 4x4 + -18x3 + 34x2 + -72x + 72

Reorder the terms:
0 = 72 + -72x + 34x2 + -18x3 + 4x4

Solving
0 = 72 + -72x + 34x2 + -18x3 + 4x4

Solving for variable 'x'.

Combine like terms: 0 + -72 = -72
-72 + 72x + -34x2 + 18x3 + -4x4 = 72 + -72x + 34x2 + -18x3 + 4x4 + -72 + 72x + -34x2 + 18x3 + -4x4

Reorder the terms:
-72 + 72x + -34x2 + 18x3 + -4x4 = 72 + -72 + -72x + 72x + 34x2 + -34x2 + -18x3 + 18x3 + 4x4 + -4x4

Combine like terms: 72 + -72 = 0
-72 + 72x + -34x2 + 18x3 + -4x4 = 0 + -72x + 72x + 34x2 + -34x2 + -18x3 + 18x3 + 4x4 + -4x4
-72 + 72x + -34x2 + 18x3 + -4x4 = -72x + 72x + 34x2 + -34x2 + -18x3 + 18x3 + 4x4 + -4x4

Combine like terms: -72x + 72x = 0
-72 + 72x + -34x2 + 18x3 + -4x4 = 0 + 34x2 + -34x2 + -18x3 + 18x3 + 4x4 + -4x4
-72 + 72x + -34x2 + 18x3 + -4x4 = 34x2 + -34x2 + -18x3 + 18x3 + 4x4 + -4x4

Combine like terms: 34x2 + -34x2 = 0
-72 + 72x + -34x2 + 18x3 + -4x4 = 0 + -18x3 + 18x3 + 4x4 + -4x4
-72 + 72x + -34x2 + 18x3 + -4x4 = -18x3 + 18x3 + 4x4 + -4x4

Combine like terms: -18x3 + 18x3 = 0
-72 + 72x + -34x2 + 18x3 + -4x4 = 0 + 4x4 + -4x4
-72 + 72x + -34x2 + 18x3 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
-72 + 72x + -34x2 + 18x3 + -4x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + 36x + -17x2 + 9x3 + -2x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-36 + 36x + -17x2 + 9x3 + -2x4)' equal to zero and attempt to solve:

Simplifying
-36 + 36x + -17x2 + 9x3 + -2x4 = 0

Solving
-36 + 36x + -17x2 + 9x3 + -2x4 = 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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