4x^3+10x=-26x

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Solution for 4x^3+10x=-26x equation:


Simplifying
4x3 + 10x = -26x

Reorder the terms:
10x + 4x3 = -26x

Solving
10x + 4x3 = -26x

Solving for variable 'x'.

Reorder the terms:
10x + 26x + 4x3 = -26x + 26x

Combine like terms: 10x + 26x = 36x
36x + 4x3 = -26x + 26x

Combine like terms: -26x + 26x = 0
36x + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(9 + 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 '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 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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