-20q^2+56q-15=0

Solution for -20q^2+56q-15=0 equation:

Simplifying
-20q2 + 56q + -15 = 0

Reorder the terms:
-15 + 56q + -20q2 = 0

Solving
-15 + 56q + -20q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-5 + 2q)(3 + -10q) = 0

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

Simplifying
-5 + 2q = 0

Solving
-5 + 2q = 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 + 2q = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2q = 0 + 5
2q = 0 + 5

Combine like terms: 0 + 5 = 5
2q = 5

Divide each side by '2'.
q = 2.5

Simplifying
q = 2.5
Subproblem 2
Set the factor '(3 + -10q)' equal to zero and attempt to solve:

Simplifying
3 + -10q = 0

Solving
3 + -10q = 0

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

Add '-3' to each side of the equation.
3 + -3 + -10q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10q = 0 + -3
-10q = 0 + -3

Combine like terms: 0 + -3 = -3
-10q = -3

Divide each side by '-10'.
q = 0.3

Simplifying
q = 0.3
Solution
q = {2.5, 0.3}