0=9x^3+81x

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Solution for 0=9x^3+81x equation:


Simplifying
0 = 9x3 + 81x

Reorder the terms:
0 = 81x + 9x3

Solving
0 = 81x + 9x3

Solving for variable 'x'.
Remove the zero:
-81x + -9x3 = 81x + 9x3 + -81x + -9x3

Reorder the terms:
-81x + -9x3 = 81x + -81x + 9x3 + -9x3

Combine like terms: 81x + -81x = 0
-81x + -9x3 = 0 + 9x3 + -9x3
-81x + -9x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-81x + -9x3 = 0

Factor out the Greatest Common Factor (GCF), '-9x'.
-9x(9 + x2) = 0

Ignore the factor -9.

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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