3x^3+x^2-4x^3-5x=

Solution for 3x^3+x^2-4x^3-5x= equation:

Simplifying
3x3 + x2 + -4x3 + -5x = 0

Reorder the terms:
-5x + x2 + 3x3 + -4x3 = 0

Combine like terms: 3x3 + -4x3 = -1x3
-5x + x2 + -1x3 = 0

Solving
-5x + x2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + x + -1x2) = 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 '(-5 + x + -1x2)' equal to zero and attempt to solve:

Simplifying
-5 + x + -1x2 = 0

Solving
-5 + x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
5 + -1x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -1x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x + x2 = 0 + -5
-1x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x + x2 = -5

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -5 + 0.25

Combine like terms: -5 + 0.25 = -4.75
0.25 + -1x + x2 = -4.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -4.75

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}