10q^2-7q-6=

Solution for 10q^2-7q-6= equation:

Simplifying
10q2 + -7q + -6 = 0

Reorder the terms:
-6 + -7q + 10q2 = 0

Solving
-6 + -7q + 10q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-1 + -2q)(6 + -5q) = 0

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

Simplifying
-1 + -2q = 0

Solving
-1 + -2q = 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 + -2q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2q = 0 + 1
-2q = 0 + 1

Combine like terms: 0 + 1 = 1
-2q = 1

Divide each side by '-2'.
q = -0.5

Simplifying
q = -0.5
Subproblem 2
Set the factor '(6 + -5q)' equal to zero and attempt to solve:

Simplifying
6 + -5q = 0

Solving
6 + -5q = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5q = 0 + -6
-5q = 0 + -6

Combine like terms: 0 + -6 = -6
-5q = -6

Divide each side by '-5'.
q = 1.2

Simplifying
q = 1.2
Solution
q = {-0.5, 1.2}