0=4x^3-120x^2+576x-1000

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Solution for 0=4x^3-120x^2+576x-1000 equation: 


Simplifying
0 = 4x3 + -120x2 + 576x + -1000

Reorder the terms:
0 = -1000 + 576x + -120x2 + 4x3

Solving
0 = -1000 + 576x + -120x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 1000 = 1000
1000 + -576x + 120x2 + -4x3 = -1000 + 576x + -120x2 + 4x3 + 1000 + -576x + 120x2 + -4x3

Reorder the terms:
1000 + -576x + 120x2 + -4x3 = -1000 + 1000 + 576x + -576x + -120x2 + 120x2 + 4x3 + -4x3

Combine like terms: -1000 + 1000 = 0
1000 + -576x + 120x2 + -4x3 = 0 + 576x + -576x + -120x2 + 120x2 + 4x3 + -4x3
1000 + -576x + 120x2 + -4x3 = 576x + -576x + -120x2 + 120x2 + 4x3 + -4x3

Combine like terms: 576x + -576x = 0
1000 + -576x + 120x2 + -4x3 = 0 + -120x2 + 120x2 + 4x3 + -4x3
1000 + -576x + 120x2 + -4x3 = -120x2 + 120x2 + 4x3 + -4x3

Combine like terms: -120x2 + 120x2 = 0
1000 + -576x + 120x2 + -4x3 = 0 + 4x3 + -4x3
1000 + -576x + 120x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
1000 + -576x + 120x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(250 + -144x + 30x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(250 + -144x + 30x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
250 + -144x + 30x2 + -1x3 = 0

Solving
250 + -144x + 30x2 + -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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