5v^2-v-4=

Solution for 5v^2-v-4= equation:

Simplifying
5v2 + -1v + -4 = 0

Reorder the terms:
-4 + -1v + 5v2 = 0

Solving
-4 + -1v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1
Set the factor '(-4 + -5v)' equal to zero and attempt to solve:

Simplifying
-4 + -5v = 0

Solving
-4 + -5v = 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 + -5v = 0 + 4

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

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

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

Simplifying
v = -0.8
Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

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

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

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

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

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