x^3+36x=-12x^3

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Solution for x^3+36x=-12x^3 equation:


Simplifying
x3 + 36x = -12x3

Reorder the terms:
36x + x3 = -12x3

Solving
36x + x3 = -12x3

Solving for variable 'x'.

Combine like terms: x3 + 12x3 = 13x3
36x + 13x3 = -12x3 + 12x3

Combine like terms: -12x3 + 12x3 = 0
36x + 13x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + 13x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(36 + 13x2)' equal to zero and attempt to solve: Simplifying 36 + 13x2 = 0 Solving 36 + 13x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 13x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 13x2 = 0 + -36 13x2 = 0 + -36 Combine like terms: 0 + -36 = -36 13x2 = -36 Divide each side by '13'. x2 = -2.769230769 Simplifying x2 = -2.769230769 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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