6x^3-4x-16x=0

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Solution for 6x^3-4x-16x=0 equation: 


Simplifying
6x3 + -4x + -16x = 0

Reorder the terms:
-4x + -16x + 6x3 = 0

Combine like terms: -4x + -16x = -20x
-20x + 6x3 = 0

Solving
-20x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-10 + 3x2) = 0

Ignore the factor 2.

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 '(-10 + 3x2)' equal to zero and attempt to solve:

Simplifying
-10 + 3x2 = 0

Solving
-10 + 3x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + 3x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 3x2 = 0 + 10
3x2 = 0 + 10

Combine like terms: 0 + 10 = 10
3x2 = 10

Divide each side by '3'.
x2 = 3.333333333

Simplifying
x2 = 3.333333333

Take the square root of each side:
x = {-1.825741858, 1.825741858}
Solution
x = {0, -1.825741858, 1.825741858}

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