2q^2-11q-13=0

Solution for 2q^2-11q-13=0 equation:

Simplifying
2q2 + -11q + -13 = 0

Reorder the terms:
-13 + -11q + 2q2 = 0

Solving
-13 + -11q + 2q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-1 + -1q)(13 + -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 '(13 + -2q)' equal to zero and attempt to solve:

Simplifying
13 + -2q = 0

Solving
13 + -2q = 0

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

Add '-13' to each side of the equation.
13 + -13 + -2q = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2q = 0 + -13
-2q = 0 + -13

Combine like terms: 0 + -13 = -13
-2q = -13

Divide each side by '-2'.
q = 6.5

Simplifying
q = 6.5
Solution
q = {-1, 6.5}