-x^3-5x^2-2x=6x

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Solution for -x^3-5x^2-2x=6x equation: 


Simplifying
-1x3 + -5x2 + -2x = 6x

Reorder the terms:
-2x + -5x2 + -1x3 = 6x

Solving
-2x + -5x2 + -1x3 = 6x

Solving for variable 'x'.

Reorder the terms:
-2x + -6x + -5x2 + -1x3 = 6x + -6x

Combine like terms: -2x + -6x = -8x
-8x + -5x2 + -1x3 = 6x + -6x

Combine like terms: 6x + -6x = 0
-8x + -5x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(8 + 5x + x2) = 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 '(8 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
8 + 5x + x2 = 0

Solving
8 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x + x2 = 0 + -8
5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
5x + x2 = -8

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -8 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + 5x + x2 = -1.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -1.75

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}

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