-7q^2+2q+9=0

Solution for -7q^2+2q+9=0 equation:

Simplifying
-7q2 + 2q + 9 = 0

Reorder the terms:
9 + 2q + -7q2 = 0

Solving
9 + 2q + -7q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(9 + -7q)(1 + q) = 0

Subproblem 1
Set the factor '(9 + -7q)' equal to zero and attempt to solve:

Simplifying
9 + -7q = 0

Solving
9 + -7q = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7q = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7q = 0 + -9
-7q = 0 + -9

Combine like terms: 0 + -9 = -9
-7q = -9

Divide each side by '-7'.
q = 1.285714286

Simplifying
q = 1.285714286
Subproblem 2
Set the factor '(1 + q)' equal to zero and attempt to solve:

Simplifying
1 + q = 0

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

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

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

Simplifying
q = -1
Solution
q = {1.285714286, -1}