a^2-22a-168=0

Solution for a^2-22a-168=0 equation:

Simplifying
a2 + -22a + -168 = 0

Reorder the terms:
-168 + -22a + a2 = 0

Solving
-168 + -22a + a2 = 0

Solving for variable 'a'.

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

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

Simplifying
-6 + -1a = 0

Solving
-6 + -1a = 0

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

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

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

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

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

Simplifying
a = -6
Subproblem 2
Set the factor '(28 + -1a)' equal to zero and attempt to solve:

Simplifying
28 + -1a = 0

Solving
28 + -1a = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1a = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1a = 0 + -28
-1a = 0 + -28

Combine like terms: 0 + -28 = -28
-1a = -28

Divide each side by '-1'.
a = 28

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