2q^2-17q+15=0

Solution for 2q^2-17q+15=0 equation:

Simplifying
2q2 + -17q + 15 = 0

Reorder the terms:
15 + -17q + 2q2 = 0

Solving
15 + -17q + 2q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(1 + -1q)(15 + -2q) = 0

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

Simplifying
1 + -1q = 0

Solving
1 + -1q = 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 + -1q = 0 + -1

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

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

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

Simplifying
q = 1
Subproblem 2
Set the factor '(15 + -2q)' equal to zero and attempt to solve:

Simplifying
15 + -2q = 0

Solving
15 + -2q = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2q = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2q = 0 + -15
-2q = 0 + -15

Combine like terms: 0 + -15 = -15
-2q = -15

Divide each side by '-2'.
q = 7.5

Simplifying
q = 7.5
Solution
q = {1, 7.5}