0=4x^3-54x^2-180x-100

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Solution for 0=4x^3-54x^2-180x-100 equation: 


Simplifying
0 = 4x3 + -54x2 + -180x + -100

Reorder the terms:
0 = -100 + -180x + -54x2 + 4x3

Solving
0 = -100 + -180x + -54x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 100 = 100
100 + 180x + 54x2 + -4x3 = -100 + -180x + -54x2 + 4x3 + 100 + 180x + 54x2 + -4x3

Reorder the terms:
100 + 180x + 54x2 + -4x3 = -100 + 100 + -180x + 180x + -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: -100 + 100 = 0
100 + 180x + 54x2 + -4x3 = 0 + -180x + 180x + -54x2 + 54x2 + 4x3 + -4x3
100 + 180x + 54x2 + -4x3 = -180x + 180x + -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: -180x + 180x = 0
100 + 180x + 54x2 + -4x3 = 0 + -54x2 + 54x2 + 4x3 + -4x3
100 + 180x + 54x2 + -4x3 = -54x2 + 54x2 + 4x3 + -4x3

Combine like terms: -54x2 + 54x2 = 0
100 + 180x + 54x2 + -4x3 = 0 + 4x3 + -4x3
100 + 180x + 54x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
100 + 180x + 54x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(50 + 90x + 27x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(50 + 90x + 27x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
50 + 90x + 27x2 + -2x3 = 0

Solving
50 + 90x + 27x2 + -2x3 = 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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