5x^3-75x=0

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Solution for 5x^3-75x=0 equation:


Simplifying
5x3 + -75x = 0

Reorder the terms:
-75x + 5x3 = 0

Solving
-75x + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-15 + x2) = 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 '(-15 + x2)' equal to zero and attempt to solve: Simplifying -15 + x2 = 0 Solving -15 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x2 = 0 + 15 x2 = 0 + 15 Combine like terms: 0 + 15 = 15 x2 = 15 Simplifying x2 = 15 Take the square root of each side: x = {-3.872983346, 3.872983346}

Solution

x = {0, -3.872983346, 3.872983346}

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