a^2+26a+69=

Solution for a^2+26a+69= equation:

Simplifying
a2 + 26a + 69 = 0

Reorder the terms:
69 + 26a + a2 = 0

Solving
69 + 26a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(23 + a)(3 + a) = 0

Subproblem 1
Set the factor '(23 + a)' equal to zero and attempt to solve:

Simplifying
23 + a = 0

Solving
23 + a = 0

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

Add '-23' to each side of the equation.
23 + -23 + a = 0 + -23

Combine like terms: 23 + -23 = 0
0 + a = 0 + -23
a = 0 + -23

Combine like terms: 0 + -23 = -23
a = -23

Simplifying
a = -23
Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve:

Simplifying
3 + a = 0

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

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

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

Simplifying
a = -3
Solution
a = {-23, -3}