0=a^2-14a-95

Solution for 0=a^2-14a-95 equation:

Simplifying
0 = a2 + -14a + -95

Reorder the terms:
0 = -95 + -14a + a2

Solving
0 = -95 + -14a + a2

Solving for variable 'a'.

Combine like terms: 0 + 95 = 95
95 + 14a + -1a2 = -95 + -14a + a2 + 95 + 14a + -1a2

Reorder the terms:
95 + 14a + -1a2 = -95 + 95 + -14a + 14a + a2 + -1a2

Combine like terms: -95 + 95 = 0
95 + 14a + -1a2 = 0 + -14a + 14a + a2 + -1a2
95 + 14a + -1a2 = -14a + 14a + a2 + -1a2

Combine like terms: -14a + 14a = 0
95 + 14a + -1a2 = 0 + a2 + -1a2
95 + 14a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
95 + 14a + -1a2 = 0

Factor a trinomial.
(19 + -1a)(5 + a) = 0

Subproblem 1
Set the factor '(19 + -1a)' equal to zero and attempt to solve:

Simplifying
19 + -1a = 0

Solving
19 + -1a = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1a = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1a = 0 + -19
-1a = 0 + -19

Combine like terms: 0 + -19 = -19
-1a = -19

Divide each side by '-1'.
a = 19

Simplifying
a = 19
Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Solution
a = {19, -5}