0=2(x^4-27x^2+46x+120)

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Solution for 0=2(x^4-27x^2+46x+120) equation: 


Simplifying
0 = 2(x4 + -27x2 + 46x + 120)

Reorder the terms:
0 = 2(120 + 46x + -27x2 + x4)
0 = (120 * 2 + 46x * 2 + -27x2 * 2 + x4 * 2)
0 = (240 + 92x + -54x2 + 2x4)

Solving
0 = 240 + 92x + -54x2 + 2x4

Solving for variable 'x'.

Combine like terms: 0 + -240 = -240
-240 + -92x + 54x2 + -2x4 = 240 + 92x + -54x2 + 2x4 + -240 + -92x + 54x2 + -2x4

Reorder the terms:
-240 + -92x + 54x2 + -2x4 = 240 + -240 + 92x + -92x + -54x2 + 54x2 + 2x4 + -2x4

Combine like terms: 240 + -240 = 0
-240 + -92x + 54x2 + -2x4 = 0 + 92x + -92x + -54x2 + 54x2 + 2x4 + -2x4
-240 + -92x + 54x2 + -2x4 = 92x + -92x + -54x2 + 54x2 + 2x4 + -2x4

Combine like terms: 92x + -92x = 0
-240 + -92x + 54x2 + -2x4 = 0 + -54x2 + 54x2 + 2x4 + -2x4
-240 + -92x + 54x2 + -2x4 = -54x2 + 54x2 + 2x4 + -2x4

Combine like terms: -54x2 + 54x2 = 0
-240 + -92x + 54x2 + -2x4 = 0 + 2x4 + -2x4
-240 + -92x + 54x2 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
-240 + -92x + 54x2 + -2x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + -46x + 27x2 + -1x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-120 + -46x + 27x2 + -1x4)' equal to zero and attempt to solve:

Simplifying
-120 + -46x + 27x2 + -1x4 = 0

Solving
-120 + -46x + 27x2 + -1x4 = 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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