2v^2-3v-20=0

Solution for 2v^2-3v-20=0 equation:

Simplifying
2v2 + -3v + -20 = 0

Reorder the terms:
-20 + -3v + 2v2 = 0

Solving
-20 + -3v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -2v)(4 + -1v) = 0

Subproblem 1
Set the factor '(-5 + -2v)' equal to zero and attempt to solve:

Simplifying
-5 + -2v = 0

Solving
-5 + -2v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2v = 0 + 5
-2v = 0 + 5

Combine like terms: 0 + 5 = 5
-2v = 5

Divide each side by '-2'.
v = -2.5

Simplifying
v = -2.5
Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve:

Simplifying
4 + -1v = 0

Solving
4 + -1v = 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 + -1v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1v = 0 + -4
-1v = 0 + -4

Combine like terms: 0 + -4 = -4
-1v = -4

Divide each side by '-1'.
v = 4

Simplifying
v = 4
Solution
v = {-2.5, 4}