0=(x-11)(x+10)

Solution for 0=(x-11)(x+10) equation:

Simplifying
0 = (x + -11)(x + 10)

Reorder the terms:
0 = (-11 + x)(x + 10)

Reorder the terms:
0 = (-11 + x)(10 + x)

Multiply (-11 + x) * (10 + x)
0 = (-11(10 + x) + x(10 + x))
0 = ((10 * -11 + x * -11) + x(10 + x))
0 = ((-110 + -11x) + x(10 + x))
0 = (-110 + -11x + (10 * x + x * x))
0 = (-110 + -11x + (10x + x2))

Combine like terms: -11x + 10x = -1x
0 = (-110 + -1x + x2)

Solving
0 = -110 + -1x + x2

Solving for variable 'x'.

Combine like terms: 0 + 110 = 110
110 + x + -1x2 = -110 + -1x + x2 + 110 + x + -1x2

Reorder the terms:
110 + x + -1x2 = -110 + 110 + -1x + x + x2 + -1x2

Combine like terms: -110 + 110 = 0
110 + x + -1x2 = 0 + -1x + x + x2 + -1x2
110 + x + -1x2 = -1x + x + x2 + -1x2

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

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

Factor a trinomial.
(11 + -1x)(10 + x) = 0

Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

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

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

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {11, -10}