-11x=x^2

Solution for -11x=x^2 equation:

Simplifying
-11x = x2

Solving
-11x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-11x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(11 + x) = 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 '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

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

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

Simplifying
x = -11
Solution
x = {0, -11}