a^2-2a-224=0

Solution for a^2-2a-224=0 equation:

Simplifying
a2 + -2a + -224 = 0

Reorder the terms:
-224 + -2a + a2 = 0

Solving
-224 + -2a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-14 + -1a)(16 + -1a) = 0

Subproblem 1
Set the factor '(-14 + -1a)' equal to zero and attempt to solve:

Simplifying
-14 + -1a = 0

Solving
-14 + -1a = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1a = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1a = 0 + 14
-1a = 0 + 14

Combine like terms: 0 + 14 = 14
-1a = 14

Divide each side by '-1'.
a = -14

Simplifying
a = -14
Subproblem 2
Set the factor '(16 + -1a)' equal to zero and attempt to solve:

Simplifying
16 + -1a = 0

Solving
16 + -1a = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1a = 0 + -16
-1a = 0 + -16

Combine like terms: 0 + -16 = -16
-1a = -16

Divide each side by '-1'.
a = 16

Simplifying
a = 16
Solution
a = {-14, 16}