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

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

Simplifying
x3 + 3x2 + 5 + 4x3 + 2x + -5 = 0

Reorder the terms:
5 + -5 + 2x + 3x2 + x3 + 4x3 = 0

Combine like terms: 5 + -5 = 0
0 + 2x + 3x2 + x3 + 4x3 = 0
2x + 3x2 + x3 + 4x3 = 0

Combine like terms: x3 + 4x3 = 5x3
2x + 3x2 + 5x3 = 0

Solving
2x + 3x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + 3x + 5x2) = 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 '(2 + 3x + 5x2)' equal to zero and attempt to solve:

Simplifying
2 + 3x + 5x2 = 0

Solving
2 + 3x + 5x2 = 0

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

Divide each side by '5'.
0.4 + 0.6x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.6x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.6x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.6x + x2 = 0 + -0.4
0.6x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.6x + x2 = -0.4

The x term is 0.6x.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6x + 0.09 + x2 = -0.4 + 0.09

Reorder the terms:
0.09 + 0.6x + x2 = -0.4 + 0.09

Combine like terms: -0.4 + 0.09 = -0.31
0.09 + 0.6x + x2 = -0.31

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = -0.31

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}