0=4*x^3+24*x^2+36*x-16

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Solution for 0=4*x^3+24*x^2+36*x-16 equation: 


Simplifying
0 = 4x3 + 24x2 + 36x + -16

Reorder the terms:
0 = -16 + 36x + 24x2 + 4x3

Solving
0 = -16 + 36x + 24x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + -36x + -24x2 + -4x3 = -16 + 36x + 24x2 + 4x3 + 16 + -36x + -24x2 + -4x3

Reorder the terms:
16 + -36x + -24x2 + -4x3 = -16 + 16 + 36x + -36x + 24x2 + -24x2 + 4x3 + -4x3

Combine like terms: -16 + 16 = 0
16 + -36x + -24x2 + -4x3 = 0 + 36x + -36x + 24x2 + -24x2 + 4x3 + -4x3
16 + -36x + -24x2 + -4x3 = 36x + -36x + 24x2 + -24x2 + 4x3 + -4x3

Combine like terms: 36x + -36x = 0
16 + -36x + -24x2 + -4x3 = 0 + 24x2 + -24x2 + 4x3 + -4x3
16 + -36x + -24x2 + -4x3 = 24x2 + -24x2 + 4x3 + -4x3

Combine like terms: 24x2 + -24x2 = 0
16 + -36x + -24x2 + -4x3 = 0 + 4x3 + -4x3
16 + -36x + -24x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
16 + -36x + -24x2 + -4x3 = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -9x + -6x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
4 + -9x + -6x2 + -1x3 = 0

Solving
4 + -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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