-15x^3+40x=0

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Solution for -15x^3+40x=0 equation:


Simplifying
-15x3 + 40x = 0

Reorder the terms:
40x + -15x3 = 0

Solving
40x + -15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(8 + -3x2) = 0

Ignore the factor 5.

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 + -3x2)' equal to zero and attempt to solve: Simplifying 8 + -3x2 = 0 Solving 8 + -3x2 = 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 + -3x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x2 = 0 + -8 -3x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3x2 = -8 Divide each side by '-3'. x2 = 2.666666667 Simplifying x2 = 2.666666667 Take the square root of each side: x = {-1.632993162, 1.632993162}

Solution

x = {0, -1.632993162, 1.632993162}

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