22=x(x-9)

Solution for 22=x(x-9) equation:

Simplifying
22 = x(x + -9)

Reorder the terms:
22 = x(-9 + x)
22 = (-9 * x + x * x)
22 = (-9x + x2)

Solving
22 = -9x + x2

Solving for variable 'x'.

Reorder the terms:
22 + 9x + -1x2 = -9x + 9x + x2 + -1x2

Combine like terms: -9x + 9x = 0
22 + 9x + -1x2 = 0 + x2 + -1x2
22 + 9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
22 + 9x + -1x2 = 0

Factor a trinomial.
(11 + -1x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {11, -2}