10q^2+7q-6=0

Solution for 10q^2+7q-6=0 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.
(-6 + -5q)(1 + -2q) = 0

Subproblem 1
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
Subproblem 2
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
Solution
q = {-1.2, 0.5}