0=4x^3-24x^2+36x+60

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Solution for 0=4x^3-24x^2+36x+60 equation:


Simplifying
0 = 4x3 + -24x2 + 36x + 60

Reorder the terms:
0 = 60 + 36x + -24x2 + 4x3

Solving
0 = 60 + 36x + -24x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + -60 = -60
-60 + -36x + 24x2 + -4x3 = 60 + 36x + -24x2 + 4x3 + -60 + -36x + 24x2 + -4x3

Reorder the terms:
-60 + -36x + 24x2 + -4x3 = 60 + -60 + 36x + -36x + -24x2 + 24x2 + 4x3 + -4x3

Combine like terms: 60 + -60 = 0
-60 + -36x + 24x2 + -4x3 = 0 + 36x + -36x + -24x2 + 24x2 + 4x3 + -4x3
-60 + -36x + 24x2 + -4x3 = 36x + -36x + -24x2 + 24x2 + 4x3 + -4x3

Combine like terms: 36x + -36x = 0
-60 + -36x + 24x2 + -4x3 = 0 + -24x2 + 24x2 + 4x3 + -4x3
-60 + -36x + 24x2 + -4x3 = -24x2 + 24x2 + 4x3 + -4x3

Combine like terms: -24x2 + 24x2 = 0
-60 + -36x + 24x2 + -4x3 = 0 + 4x3 + -4x3
-60 + -36x + 24x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-60 + -36x + 24x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -9x + 6x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-15 + -9x + 6x2 + -1x3)' equal to zero and attempt to solve: Simplifying -15 + -9x + 6x2 + -1x3 = 0 Solving -15 + -9x + 6x2 + -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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