2q^2+7q-9=0

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

Simplifying
2q2 + 7q + -9 = 0

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

Solving
-9 + 7q + 2q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-9 + -2q)(1 + -1q) = 0

Subproblem 1
Set the factor '(-9 + -2q)' equal to zero and attempt to solve:

Simplifying
-9 + -2q = 0

Solving
-9 + -2q = 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 + -2q = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2q = 0 + 9
-2q = 0 + 9

Combine like terms: 0 + 9 = 9
-2q = 9

Divide each side by '-2'.
q = -4.5

Simplifying
q = -4.5
Subproblem 2
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
Solution
q = {-4.5, 1}