12x^5+76x^3+120x=0

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Solution for 12x^5+76x^3+120x=0 equation:


Simplifying
12x5 + 76x3 + 120x = 0

Reorder the terms:
120x + 76x3 + 12x5 = 0

Solving
120x + 76x3 + 12x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(30 + 19x2 + 3x4) = 0

Factor a trinomial.
4x((10 + 3x2)(3 + x2)) = 0

Ignore the factor 4.

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 '(10 + 3x2)' equal to zero and attempt to solve: Simplifying 10 + 3x2 = 0 Solving 10 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x2 = 0 + -10 3x2 = 0 + -10 Combine like terms: 0 + -10 = -10 3x2 = -10 Divide each side by '3'. x2 = -3.333333333 Simplifying x2 = -3.333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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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