60x^3-24x-3x=0

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Solution for 60x^3-24x-3x=0 equation:


Simplifying
60x3 + -24x + -3x = 0

Reorder the terms:
-24x + -3x + 60x3 = 0

Combine like terms: -24x + -3x = -27x
-27x + 60x3 = 0

Solving
-27x + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-9 + 20x2) = 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 '(-9 + 20x2)' equal to zero and attempt to solve: Simplifying -9 + 20x2 = 0 Solving -9 + 20x2 = 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 + 20x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 20x2 = 0 + 9 20x2 = 0 + 9 Combine like terms: 0 + 9 = 9 20x2 = 9 Divide each side by '20'. x2 = 0.45 Simplifying x2 = 0.45 Take the square root of each side: x = {-0.670820393, 0.670820393}

Solution

x = {0, -0.670820393, 0.670820393}

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