0=x^2+13x-168

Solution for 0=x^2+13x-168 equation:

Simplifying
0 = x2 + 13x + -168

Reorder the terms:
0 = -168 + 13x + x2

Solving
0 = -168 + 13x + x2

Solving for variable 'x'.

Combine like terms: 0 + 168 = 168
168 + -13x + -1x2 = -168 + 13x + x2 + 168 + -13x + -1x2

Reorder the terms:
168 + -13x + -1x2 = -168 + 168 + 13x + -13x + x2 + -1x2

Combine like terms: -168 + 168 = 0
168 + -13x + -1x2 = 0 + 13x + -13x + x2 + -1x2
168 + -13x + -1x2 = 13x + -13x + x2 + -1x2

Combine like terms: 13x + -13x = 0
168 + -13x + -1x2 = 0 + x2 + -1x2
168 + -13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
168 + -13x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(21 + x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {8, -21}