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

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

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

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

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

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

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

Solving
-110 + 1x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -1x)(10 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

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