-q^2+15q-50=0

Solution for -q^2+15q-50=0 equation:

Simplifying
-1q2 + 15q + -50 = 0

Reorder the terms:
-50 + 15q + -1q2 = 0

Solving
-50 + 15q + -1q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-10 + q)(5 + -1q) = 0

Subproblem 1
Set the factor '(-10 + q)' equal to zero and attempt to solve:

Simplifying
-10 + q = 0

Solving
-10 + q = 0

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

Add '10' to each side of the equation.
-10 + 10 + q = 0 + 10

Combine like terms: -10 + 10 = 0
0 + q = 0 + 10
q = 0 + 10

Combine like terms: 0 + 10 = 10
q = 10

Simplifying
q = 10
Subproblem 2
Set the factor '(5 + -1q)' equal to zero and attempt to solve:

Simplifying
5 + -1q = 0

Solving
5 + -1q = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1q = 0 + -5
-1q = 0 + -5

Combine like terms: 0 + -5 = -5
-1q = -5

Divide each side by '-1'.
q = 5

Simplifying
q = 5
Solution
q = {10, 5}