x(6+x)(-x^2-5x)=

Solution for x(6+x)(-x^2-5x)= equation:

Simplifying
x(6 + x)(-1x2 + -5x) = 0

Reorder the terms:
x(6 + x)(-5x + -1x2) = 0

Multiply (6 + x) * (-5x + -1x2)
x(6(-5x + -1x2) + x(-5x + -1x2)) = 0
x((-5x * 6 + -1x2 * 6) + x(-5x + -1x2)) = 0
x((-30x + -6x2) + x(-5x + -1x2)) = 0
x(-30x + -6x2 + (-5x * x + -1x2 * x)) = 0
x(-30x + -6x2 + (-5x2 + -1x3)) = 0

Combine like terms: -6x2 + -5x2 = -11x2
x(-30x + -11x2 + -1x3) = 0
(-30x * x + -11x2 * x + -1x3 * x) = 0
(-30x2 + -11x3 + -1x4) = 0

Solving
-30x2 + -11x3 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(30 + 11x + x2) = 0

Factor a trinomial.
-1x2((6 + x)(5 + x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 3
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

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

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

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

Simplifying
x = -5
Solution
x = {0, -6, -5}