-6x^3+10x^2+(-4)6x^3+(-5x^2)+(-9x)=

Solution for -6x^3+10x^2+(-4)6x^3+(-5x^2)+(-9x)= equation:

Simplifying
-6x3 + 10x2 + (-4) * 6x3 + (-5x2) + (-9x) = 0

Multiply -4 * 6
-6x3 + 10x2 + -24x3 + (-5x2) + (-9x) = 0

Reorder the terms:
(-9x) + 10x2 + (-5x2) + -6x3 + -24x3 = 0

Combine like terms: 10x2 + (-5x2) = 5x2
(-9x) + 5x2 + -6x3 + -24x3 = 0

Combine like terms: -6x3 + -24x3 = -30x3
(-9x) + 5x2 + -30x3 = 0

Solving
(-9x) + 5x2 + -30x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 5x + -30x2) = 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 '(-9 + 5x + -30x2)' equal to zero and attempt to solve:

Simplifying
-9 + 5x + -30x2 = 0

Solving
-9 + 5x + -30x2 = 0

Begin completing the square.  Divide all terms by
-30 the coefficient of the squared term: 

Divide each side by '-30'.
0.3 + -0.1666666667x + x2 = 0.0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.1666666667x + -0.3 + x2 = 0.0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.1666666667x + x2 = 0.0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.1666666667x + x2 = 0.0 + -0.3
-0.1666666667x + x2 = 0.0 + -0.3

Combine like terms: 0.0 + -0.3 = -0.3
-0.1666666667x + x2 = -0.3

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -0.3 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.3 + 0.006944444447

Combine like terms: -0.3 + 0.006944444447 = -0.293055555553
0.006944444447 + -0.1666666667x + x2 = -0.293055555553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.293055555553

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}