a^2-a-812=0

Solution for a^2-a-812=0 equation:

Simplifying
a2 + -1a + -812 = 0

Reorder the terms:
-812 + -1a + a2 = 0

Solving
-812 + -1a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-28 + -1a)(29 + -1a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(29 + -1a)' equal to zero and attempt to solve:

Simplifying
29 + -1a = 0

Solving
29 + -1a = 0

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

Add '-29' to each side of the equation.
29 + -29 + -1a = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -1a = 0 + -29
-1a = 0 + -29

Combine like terms: 0 + -29 = -29
-1a = -29

Divide each side by '-1'.
a = 29

Simplifying
a = 29
Solution
a = {-28, 29}