0=12x^3-48x^2+60x-24

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Solution for 0=12x^3-48x^2+60x-24 equation: 


Simplifying
0 = 12x3 + -48x2 + 60x + -24

Reorder the terms:
0 = -24 + 60x + -48x2 + 12x3

Solving
0 = -24 + 60x + -48x2 + 12x3

Solving for variable 'x'.

Combine like terms: 0 + 24 = 24
24 + -60x + 48x2 + -12x3 = -24 + 60x + -48x2 + 12x3 + 24 + -60x + 48x2 + -12x3

Reorder the terms:
24 + -60x + 48x2 + -12x3 = -24 + 24 + 60x + -60x + -48x2 + 48x2 + 12x3 + -12x3

Combine like terms: -24 + 24 = 0
24 + -60x + 48x2 + -12x3 = 0 + 60x + -60x + -48x2 + 48x2 + 12x3 + -12x3
24 + -60x + 48x2 + -12x3 = 60x + -60x + -48x2 + 48x2 + 12x3 + -12x3

Combine like terms: 60x + -60x = 0
24 + -60x + 48x2 + -12x3 = 0 + -48x2 + 48x2 + 12x3 + -12x3
24 + -60x + 48x2 + -12x3 = -48x2 + 48x2 + 12x3 + -12x3

Combine like terms: -48x2 + 48x2 = 0
24 + -60x + 48x2 + -12x3 = 0 + 12x3 + -12x3
24 + -60x + 48x2 + -12x3 = 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
24 + -60x + 48x2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(2 + -5x + 4x2 + -1x3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(2 + -5x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
2 + -5x + 4x2 + -1x3 = 0

Solving
2 + -5x + 4x2 + -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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