(x+8)(x-1)=22

Solution for (x+8)(x-1)=22 equation:

Simplifying
(x + 8)(x + -1) = 22

Reorder the terms:
(8 + x)(x + -1) = 22

Reorder the terms:
(8 + x)(-1 + x) = 22

Multiply (8 + x) * (-1 + x)
(8(-1 + x) + x(-1 + x)) = 22
((-1 * 8 + x * 8) + x(-1 + x)) = 22
((-8 + 8x) + x(-1 + x)) = 22
(-8 + 8x + (-1 * x + x * x)) = 22
(-8 + 8x + (-1x + x2)) = 22

Combine like terms: 8x + -1x = 7x
(-8 + 7x + x2) = 22

Solving
-8 + 7x + x2 = 22

Solving for variable 'x'.

Reorder the terms:
-8 + -22 + 7x + x2 = 22 + -22

Combine like terms: -8 + -22 = -30
-30 + 7x + x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-30 + 7x + x2 = 0

Factor a trinomial.
(-10 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-10, 3}