18a^2+96a+95=-1

Solution for 18a^2+96a+95=-1 equation:

Simplifying
18a2 + 96a + 95 = -1

Reorder the terms:
95 + 96a + 18a2 = -1

Solving
95 + 96a + 18a2 = -1

Solving for variable 'a'.

Reorder the terms:
95 + 1 + 96a + 18a2 = -1 + 1

Combine like terms: 95 + 1 = 96
96 + 96a + 18a2 = -1 + 1

Combine like terms: -1 + 1 = 0
96 + 96a + 18a2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(16 + 16a + 3a2) = 0

Factor a trinomial.
6((4 + a)(4 + 3a)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

Solving
4 + a = 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 + a = 0 + -4

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

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

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

Simplifying
4 + 3a = 0

Solving
4 + 3a = 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 + 3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = 0 + -4
3a = 0 + -4

Combine like terms: 0 + -4 = -4
3a = -4

Divide each side by '3'.
a = -1.333333333

Simplifying
a = -1.333333333
Solution
a = {-4, -1.333333333}