-19x^3-12x+16x=0

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Solution for -19x^3-12x+16x=0 equation: 


Simplifying
-19x3 + -12x + 16x = 0

Reorder the terms:
-12x + 16x + -19x3 = 0

Combine like terms: -12x + 16x = 4x
4x + -19x3 = 0

Solving
4x + -19x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -19x2) = 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 '(4 + -19x2)' equal to zero and attempt to solve:

Simplifying
4 + -19x2 = 0

Solving
4 + -19x2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + -19x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -19x2 = 0 + -4
-19x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-19x2 = -4

Divide each side by '-19'.
x2 = 0.2105263158

Simplifying
x2 = 0.2105263158

Take the square root of each side:
x = {-0.458831468, 0.458831468}
Solution
x = {0, -0.458831468, 0.458831468}

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