x^3+13x+42x=0

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Solution for x^3+13x+42x=0 equation:


Simplifying
x3 + 13x + 42x = 0

Reorder the terms:
13x + 42x + x3 = 0

Combine like terms: 13x + 42x = 55x
55x + x3 = 0

Solving
55x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(55 + x2) = 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 '(55 + x2)' equal to zero and attempt to solve: Simplifying 55 + x2 = 0 Solving 55 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + x2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + x2 = 0 + -55 x2 = 0 + -55 Combine like terms: 0 + -55 = -55 x2 = -55 Simplifying x2 = -55 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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