16q^2+10q-450=0

Solution for 16q^2+10q-450=0 equation:

Simplifying
16q2 + 10q + -450 = 0

Reorder the terms:
-450 + 10q + 16q2 = 0

Solving
-450 + 10q + 16q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-225 + 5q + 8q2) = 0

Factor a trinomial.
2((-45 + -8q)(5 + -1q)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-45 + -8q)' equal to zero and attempt to solve:

Simplifying
-45 + -8q = 0

Solving
-45 + -8q = 0

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

Add '45' to each side of the equation.
-45 + 45 + -8q = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -8q = 0 + 45
-8q = 0 + 45

Combine like terms: 0 + 45 = 45
-8q = 45

Divide each side by '-8'.
q = -5.625

Simplifying
q = -5.625
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 = {-5.625, 5}