45x^3+24x=0

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Solution for 45x^3+24x=0 equation:


Simplifying
45x3 + 24x = 0

Reorder the terms:
24x + 45x3 = 0

Solving
24x + 45x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + 15x2) = 0

Ignore the factor 3.

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 '(8 + 15x2)' equal to zero and attempt to solve: Simplifying 8 + 15x2 = 0 Solving 8 + 15x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 15x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 15x2 = 0 + -8 15x2 = 0 + -8 Combine like terms: 0 + -8 = -8 15x2 = -8 Divide each side by '15'. x2 = -0.5333333333 Simplifying x2 = -0.5333333333 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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