0=5x^3+24x^2+36x+16

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Solution for 0=5x^3+24x^2+36x+16 equation:


Simplifying
0 = 5x3 + 24x2 + 36x + 16

Reorder the terms:
0 = 16 + 36x + 24x2 + 5x3

Solving
0 = 16 + 36x + 24x2 + 5x3

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + -36x + -24x2 + -5x3 = 16 + 36x + 24x2 + 5x3 + -16 + -36x + -24x2 + -5x3

Reorder the terms:
-16 + -36x + -24x2 + -5x3 = 16 + -16 + 36x + -36x + 24x2 + -24x2 + 5x3 + -5x3

Combine like terms: 16 + -16 = 0
-16 + -36x + -24x2 + -5x3 = 0 + 36x + -36x + 24x2 + -24x2 + 5x3 + -5x3
-16 + -36x + -24x2 + -5x3 = 36x + -36x + 24x2 + -24x2 + 5x3 + -5x3

Combine like terms: 36x + -36x = 0
-16 + -36x + -24x2 + -5x3 = 0 + 24x2 + -24x2 + 5x3 + -5x3
-16 + -36x + -24x2 + -5x3 = 24x2 + -24x2 + 5x3 + -5x3

Combine like terms: 24x2 + -24x2 = 0
-16 + -36x + -24x2 + -5x3 = 0 + 5x3 + -5x3
-16 + -36x + -24x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-16 + -36x + -24x2 + -5x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 36x + 24x2 + 5x3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(16 + 36x + 24x2 + 5x3)' equal to zero and attempt to solve: Simplifying 16 + 36x + 24x2 + 5x3 = 0 Solving 16 + 36x + 24x2 + 5x3 = 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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