8q^2-62q+99=0

Solution for 8q^2-62q+99=0 equation:

Simplifying
8q2 + -62q + 99 = 0

Reorder the terms:
99 + -62q + 8q2 = 0

Solving
99 + -62q + 8q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(9 + -4q)(11 + -2q) = 0

Subproblem 1
Set the factor '(9 + -4q)' equal to zero and attempt to solve:

Simplifying
9 + -4q = 0

Solving
9 + -4q = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4q = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4q = 0 + -9
-4q = 0 + -9

Combine like terms: 0 + -9 = -9
-4q = -9

Divide each side by '-4'.
q = 2.25

Simplifying
q = 2.25
Subproblem 2
Set the factor '(11 + -2q)' equal to zero and attempt to solve:

Simplifying
11 + -2q = 0

Solving
11 + -2q = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2q = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2q = 0 + -11
-2q = 0 + -11

Combine like terms: 0 + -11 = -11
-2q = -11

Divide each side by '-2'.
q = 5.5

Simplifying
q = 5.5
Solution
q = {2.25, 5.5}