0=x^3+25x

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Solution for 0=x^3+25x equation:


Simplifying
0 = x3 + 25x

Reorder the terms:
0 = 25x + x3

Solving
0 = 25x + x3

Solving for variable 'x'.
Remove the zero:
-25x + -1x3 = 25x + x3 + -25x + -1x3

Reorder the terms:
-25x + -1x3 = 25x + -25x + x3 + -1x3

Combine like terms: 25x + -25x = 0
-25x + -1x3 = 0 + x3 + -1x3
-25x + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-25x + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(25 + x2) = 0

Ignore the factor -1.

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 '(25 + x2)' equal to zero and attempt to solve: Simplifying 25 + x2 = 0 Solving 25 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x2 = 0 + -25 x2 = 0 + -25 Combine like terms: 0 + -25 = -25 x2 = -25 Simplifying x2 = -25 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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