-12x^3-15x^2-19x=0

Solution for -12x^3-15x^2-19x=0 equation:

Simplifying
-12x3 + -15x2 + -19x = 0

Reorder the terms:
-19x + -15x2 + -12x3 = 0

Solving
-19x + -15x2 + -12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(19 + 15x + 12x2) = 0

Ignore the factor -1.
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 + 15x + 12x2)' equal to zero and attempt to solve:

Simplifying
19 + 15x + 12x2 = 0

Solving
19 + 15x + 12x2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
1.583333333 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-1.583333333' to each side of the equation.
1.583333333 + 1.25x + -1.583333333 + x2 = 0 + -1.583333333

Reorder the terms:
1.583333333 + -1.583333333 + 1.25x + x2 = 0 + -1.583333333

Combine like terms: 1.583333333 + -1.583333333 = 0.000000000
0.000000000 + 1.25x + x2 = 0 + -1.583333333
1.25x + x2 = 0 + -1.583333333

Combine like terms: 0 + -1.583333333 = -1.583333333
1.25x + x2 = -1.583333333

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -1.583333333 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -1.583333333 + 0.390625

Combine like terms: -1.583333333 + 0.390625 = -1.192708333
0.390625 + 1.25x + x2 = -1.192708333

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -1.192708333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}