(x-1)(x+9)=11

Solution for (x-1)(x+9)=11 equation:

Simplifying
(x + -1)(x + 9) = 11

Reorder the terms:
(-1 + x)(x + 9) = 11

Reorder the terms:
(-1 + x)(9 + x) = 11

Multiply (-1 + x) * (9 + x)
(-1(9 + x) + x(9 + x)) = 11
((9 * -1 + x * -1) + x(9 + x)) = 11
((-9 + -1x) + x(9 + x)) = 11
(-9 + -1x + (9 * x + x * x)) = 11
(-9 + -1x + (9x + x2)) = 11

Combine like terms: -1x + 9x = 8x
(-9 + 8x + x2) = 11

Solving
-9 + 8x + x2 = 11

Solving for variable 'x'.

Reorder the terms:
-9 + -11 + 8x + x2 = 11 + -11

Combine like terms: -9 + -11 = -20
-20 + 8x + x2 = 11 + -11

Combine like terms: 11 + -11 = 0
-20 + 8x + x2 = 0

Factor a trinomial.
(-10 + -1x)(2 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-10, 2}