q^2+26q+25=0

Solution for q^2+26q+25=0 equation:

Simplifying
q2 + 26q + 25 = 0

Reorder the terms:
25 + 26q + q2 = 0

Solving
25 + 26q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(25 + q)(1 + q) = 0

Subproblem 1
Set the factor '(25 + q)' equal to zero and attempt to solve:

Simplifying
25 + q = 0

Solving
25 + q = 0

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

Add '-25' to each side of the equation.
25 + -25 + q = 0 + -25

Combine like terms: 25 + -25 = 0
0 + q = 0 + -25
q = 0 + -25

Combine like terms: 0 + -25 = -25
q = -25

Simplifying
q = -25
Subproblem 2
Set the factor '(1 + q)' equal to zero and attempt to solve:

Simplifying
1 + q = 0

Solving
1 + q = 0

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

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

Combine like terms: 1 + -1 = 0
0 + q = 0 + -1
q = 0 + -1

Combine like terms: 0 + -1 = -1
q = -1

Simplifying
q = -1
Solution
q = {-25, -1}