3x^3-100x=0

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Solution for 3x^3-100x=0 equation:


Simplifying
3x3 + -100x = 0

Reorder the terms:
-100x + 3x3 = 0

Solving
-100x + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-100 + 3x2) = 0

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 '(-100 + 3x2)' equal to zero and attempt to solve: Simplifying -100 + 3x2 = 0 Solving -100 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 3x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 3x2 = 0 + 100 3x2 = 0 + 100 Combine like terms: 0 + 100 = 100 3x2 = 100 Divide each side by '3'. x2 = 33.33333333 Simplifying x2 = 33.33333333 Take the square root of each side: x = {-5.773502692, 5.773502692}

Solution

x = {0, -5.773502692, 5.773502692}

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