0=x^2+22x-168

Solution for 0=x^2+22x-168 equation:

Simplifying
0 = x2 + 22x + -168

Reorder the terms:
0 = -168 + 22x + x2

Solving
0 = -168 + 22x + x2

Solving for variable 'x'.

Combine like terms: 0 + 168 = 168
168 + -22x + -1x2 = -168 + 22x + x2 + 168 + -22x + -1x2

Reorder the terms:
168 + -22x + -1x2 = -168 + 168 + 22x + -22x + x2 + -1x2

Combine like terms: -168 + 168 = 0
168 + -22x + -1x2 = 0 + 22x + -22x + x2 + -1x2
168 + -22x + -1x2 = 22x + -22x + x2 + -1x2

Combine like terms: 22x + -22x = 0
168 + -22x + -1x2 = 0 + x2 + -1x2
168 + -22x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
168 + -22x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(28 + x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(28 + x)' equal to zero and attempt to solve:

Simplifying
28 + x = 0

Solving
28 + x = 0

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

Add '-28' to each side of the equation.
28 + -28 + x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + x = 0 + -28
x = 0 + -28

Combine like terms: 0 + -28 = -28
x = -28

Simplifying
x = -28
Solution
x = {6, -28}