-5v^2+4v+5=4

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

Simplifying
-5v2 + 4v + 5 = 4

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

Solving
5 + 4v + -5v2 = 4

Solving for variable 'v'.

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

Combine like terms: 5 + -4 = 1
1 + 4v + -5v2 = 4 + -4

Combine like terms: 4 + -4 = 0
1 + 4v + -5v2 = 0

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

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

Simplifying
1 + 5v = 0

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

Combine like terms: 1 + -1 = 0
0 + 5v = 0 + -1
5v = 0 + -1

Combine like terms: 0 + -1 = -1
5v = -1

Divide each side by '5'.
v = -0.2

Simplifying
v = -0.2
Solution
v = {1, -0.2}