a^2+4a-92=4

Solution for a^2+4a-92=4 equation:

Simplifying
a2 + 4a + -92 = 4

Reorder the terms:
-92 + 4a + a2 = 4

Solving
-92 + 4a + a2 = 4

Solving for variable 'a'.

Reorder the terms:
-92 + -4 + 4a + a2 = 4 + -4

Combine like terms: -92 + -4 = -96
-96 + 4a + a2 = 4 + -4

Combine like terms: 4 + -4 = 0
-96 + 4a + a2 = 0

Factor a trinomial.
(-12 + -1a)(8 + -1a) = 0

Subproblem 1
Set the factor '(-12 + -1a)' equal to zero and attempt to solve:

Simplifying
-12 + -1a = 0

Solving
-12 + -1a = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1a = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1a = 0 + 12
-1a = 0 + 12

Combine like terms: 0 + 12 = 12
-1a = 12

Divide each side by '-1'.
a = -12

Simplifying
a = -12
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

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

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

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

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

Simplifying
a = 8
Solution
a = {-12, 8}