f(0)=x^2+9x-22

Solution for f(0)=x^2+9x-22 equation:

Simplifying
f(0) = x2 + 9x + -22

Reorder the terms for easier multiplication:
0f = x2 + 9x + -22

Anything times zero is zero.
0f = x2 + 9x + -22

Reorder the terms:
0 = -22 + 9x + x2

Solving
0 = -22 + 9x + x2

Solving for variable 'x'.

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

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

Combine like terms: -22 + 22 = 0
22 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2
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.
(2 + -1x)(11 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

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

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

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

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