-5q^2-9q-4=0

Solution for -5q^2-9q-4=0 equation:

Simplifying
-5q2 + -9q + -4 = 0

Reorder the terms:
-4 + -9q + -5q2 = 0

Solving
-4 + -9q + -5q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 9q + 5q2) = 0

Factor a trinomial.
-1((1 + q)(4 + 5q)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + 5q)' equal to zero and attempt to solve:

Simplifying
4 + 5q = 0

Solving
4 + 5q = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5q = 0 + -4
5q = 0 + -4

Combine like terms: 0 + -4 = -4
5q = -4

Divide each side by '5'.
q = -0.8

Simplifying
q = -0.8
Solution
q = {-1, -0.8}