x^2+11x=-11x

Solution for x^2+11x=-11x equation:

Simplifying
x2 + 11x = -11x

Reorder the terms:
11x + x2 = -11x

Solving
11x + x2 = -11x

Solving for variable 'x'.

Reorder the terms:
11x + 11x + x2 = -11x + 11x

Combine like terms: 11x + 11x = 22x
22x + x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
22x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(22 + x) = 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 '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + x = 0 + -22
x = 0 + -22

Combine like terms: 0 + -22 = -22
x = -22

Simplifying
x = -22
Solution
x = {0, -22}