-9v-4=2v^2

Solution for -9v-4=2v^2 equation:

Simplifying
-9v + -4 = 2v2

Reorder the terms:
-4 + -9v = 2v2

Solving
-4 + -9v = 2v2

Solving for variable 'v'.

Combine like terms: 2v2 + -2v2 = 0
-4 + -9v + -2v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 9v + 2v2) = 0

Factor a trinomial.
-1((4 + v)(1 + 2v)) = 0

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

Simplifying
4 + v = 0

Solving
4 + v = 0

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

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

Combine like terms: 4 + -4 = 0
0 + v = 0 + -4
v = 0 + -4

Combine like terms: 0 + -4 = -4
v = -4

Simplifying
v = -4
Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve:

Simplifying
1 + 2v = 0

Solving
1 + 2v = 0

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

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

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

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

Divide each side by '2'.
v = -0.5

Simplifying
v = -0.5
Solution
v = {-4, -0.5}