q^2+50q+49=0

Solution for q^2+50q+49=0 equation:

Simplifying
q2 + 50q + 49 = 0

Reorder the terms:
49 + 50q + q2 = 0

Solving
49 + 50q + q2 = 0

Solving for variable 'q'.

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

Subproblem 1
Set the factor '(49 + q)' equal to zero and attempt to solve:

Simplifying
49 + q = 0

Solving
49 + q = 0

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

Add '-49' to each side of the equation.
49 + -49 + q = 0 + -49

Combine like terms: 49 + -49 = 0
0 + q = 0 + -49
q = 0 + -49

Combine like terms: 0 + -49 = -49
q = -49

Simplifying
q = -49
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 = {-49, -1}