0=x^5-2x^4-2x^3+24x^2-120

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Solution for 0=x^5-2x^4-2x^3+24x^2-120 equation: 


Simplifying
0 = x5 + -2x4 + -2x3 + 24x2 + -120

Reorder the terms:
0 = -120 + 24x2 + -2x3 + -2x4 + x5

Solving
0 = -120 + 24x2 + -2x3 + -2x4 + x5

Solving for variable 'x'.

Combine like terms: 0 + 120 = 120
120 + -24x2 + 2x3 + 2x4 + -1x5 = -120 + 24x2 + -2x3 + -2x4 + x5 + 120 + -24x2 + 2x3 + 2x4 + -1x5

Reorder the terms:
120 + -24x2 + 2x3 + 2x4 + -1x5 = -120 + 120 + 24x2 + -24x2 + -2x3 + 2x3 + -2x4 + 2x4 + x5 + -1x5

Combine like terms: -120 + 120 = 0
120 + -24x2 + 2x3 + 2x4 + -1x5 = 0 + 24x2 + -24x2 + -2x3 + 2x3 + -2x4 + 2x4 + x5 + -1x5
120 + -24x2 + 2x3 + 2x4 + -1x5 = 24x2 + -24x2 + -2x3 + 2x3 + -2x4 + 2x4 + x5 + -1x5

Combine like terms: 24x2 + -24x2 = 0
120 + -24x2 + 2x3 + 2x4 + -1x5 = 0 + -2x3 + 2x3 + -2x4 + 2x4 + x5 + -1x5
120 + -24x2 + 2x3 + 2x4 + -1x5 = -2x3 + 2x3 + -2x4 + 2x4 + x5 + -1x5

Combine like terms: -2x3 + 2x3 = 0
120 + -24x2 + 2x3 + 2x4 + -1x5 = 0 + -2x4 + 2x4 + x5 + -1x5
120 + -24x2 + 2x3 + 2x4 + -1x5 = -2x4 + 2x4 + x5 + -1x5

Combine like terms: -2x4 + 2x4 = 0
120 + -24x2 + 2x3 + 2x4 + -1x5 = 0 + x5 + -1x5
120 + -24x2 + 2x3 + 2x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
120 + -24x2 + 2x3 + 2x4 + -1x5 = 0

The solution to this equation could not be determined.

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