7q^2-11q-6=

Solution for 7q^2-11q-6= equation:

Simplifying
7q2 + -11q + -6 = 0

Reorder the terms:
-6 + -11q + 7q2 = 0

Solving
-6 + -11q + 7q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-3 + -7q)(2 + -1q) = 0

Subproblem 1
Set the factor '(-3 + -7q)' equal to zero and attempt to solve:

Simplifying
-3 + -7q = 0

Solving
-3 + -7q = 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 + -7q = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7q = 0 + 3
-7q = 0 + 3

Combine like terms: 0 + 3 = 3
-7q = 3

Divide each side by '-7'.
q = -0.4285714286

Simplifying
q = -0.4285714286
Subproblem 2
Set the factor '(2 + -1q)' equal to zero and attempt to solve:

Simplifying
2 + -1q = 0

Solving
2 + -1q = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1q = 0 + -2

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

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

Divide each side by '-1'.
q = 2

Simplifying
q = 2
Solution
q = {-0.4285714286, 2}