0=-2x^5-16x^3-30x

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Solution for 0=-2x^5-16x^3-30x equation:


Simplifying
0 = -2x5 + -16x3 + -30x

Reorder the terms:
0 = -30x + -16x3 + -2x5

Solving
0 = -30x + -16x3 + -2x5

Solving for variable 'x'.
Remove the zero:
30x + 16x3 + 2x5 = -30x + -16x3 + -2x5 + 30x + 16x3 + 2x5

Reorder the terms:
30x + 16x3 + 2x5 = -30x + 30x + -16x3 + 16x3 + -2x5 + 2x5

Combine like terms: -30x + 30x = 0
30x + 16x3 + 2x5 = 0 + -16x3 + 16x3 + -2x5 + 2x5
30x + 16x3 + 2x5 = -16x3 + 16x3 + -2x5 + 2x5

Combine like terms: -16x3 + 16x3 = 0
30x + 16x3 + 2x5 = 0 + -2x5 + 2x5
30x + 16x3 + 2x5 = -2x5 + 2x5

Combine like terms: -2x5 + 2x5 = 0
30x + 16x3 + 2x5 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(15 + 8x2 + x4) = 0

Factor a trinomial.
2x((5 + x2)(3 + x2)) = 0

Ignore the factor 2.

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 '(5 + x2)' equal to zero and attempt to solve: Simplifying 5 + x2 = 0 Solving 5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x2 = 0 + -5 x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x2 = -5 Simplifying x2 = -5 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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