8a^2+8a-99=-3

Solution for 8a^2+8a-99=-3 equation:

Simplifying
8a2 + 8a + -99 = -3

Reorder the terms:
-99 + 8a + 8a2 = -3

Solving
-99 + 8a + 8a2 = -3

Solving for variable 'a'.

Reorder the terms:
-99 + 3 + 8a + 8a2 = -3 + 3

Combine like terms: -99 + 3 = -96
-96 + 8a + 8a2 = -3 + 3

Combine like terms: -3 + 3 = 0
-96 + 8a + 8a2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-12 + a + a2) = 0

Factor a trinomial.
8((-4 + -1a)(3 + -1a)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-4 + -1a)' equal to zero and attempt to solve:

Simplifying
-4 + -1a = 0

Solving
-4 + -1a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = 0 + 4
-1a = 0 + 4

Combine like terms: 0 + 4 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4
Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Solution
a = {-4, 3}