0=12x^3+9x^2-60x+24

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Solution for 0=12x^3+9x^2-60x+24 equation:


Simplifying
0 = 12x3 + 9x2 + -60x + 24

Reorder the terms:
0 = 24 + -60x + 9x2 + 12x3

Solving
0 = 24 + -60x + 9x2 + 12x3

Solving for variable 'x'.

Combine like terms: 0 + -24 = -24
-24 + 60x + -9x2 + -12x3 = 24 + -60x + 9x2 + 12x3 + -24 + 60x + -9x2 + -12x3

Reorder the terms:
-24 + 60x + -9x2 + -12x3 = 24 + -24 + -60x + 60x + 9x2 + -9x2 + 12x3 + -12x3

Combine like terms: 24 + -24 = 0
-24 + 60x + -9x2 + -12x3 = 0 + -60x + 60x + 9x2 + -9x2 + 12x3 + -12x3
-24 + 60x + -9x2 + -12x3 = -60x + 60x + 9x2 + -9x2 + 12x3 + -12x3

Combine like terms: -60x + 60x = 0
-24 + 60x + -9x2 + -12x3 = 0 + 9x2 + -9x2 + 12x3 + -12x3
-24 + 60x + -9x2 + -12x3 = 9x2 + -9x2 + 12x3 + -12x3

Combine like terms: 9x2 + -9x2 = 0
-24 + 60x + -9x2 + -12x3 = 0 + 12x3 + -12x3
-24 + 60x + -9x2 + -12x3 = 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
-24 + 60x + -9x2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 20x + -3x2 + -4x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-8 + 20x + -3x2 + -4x3)' equal to zero and attempt to solve: Simplifying -8 + 20x + -3x2 + -4x3 = 0 Solving -8 + 20x + -3x2 + -4x3 = 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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