6x^3-19x=0

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Solution for 6x^3-19x=0 equation:


Simplifying
6x3 + -19x = 0

Reorder the terms:
-19x + 6x3 = 0

Solving
-19x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + 6x2) = 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 '(-19 + 6x2)' equal to zero and attempt to solve: Simplifying -19 + 6x2 = 0 Solving -19 + 6x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 6x2 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 6x2 = 0 + 19 6x2 = 0 + 19 Combine like terms: 0 + 19 = 19 6x2 = 19 Divide each side by '6'. x2 = 3.166666667 Simplifying x2 = 3.166666667 Take the square root of each side: x = {-1.779513042, 1.779513042}

Solution

x = {0, -1.779513042, 1.779513042}

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