40v(v)-46v-5=0

Solution for 40v(v)-46v-5=0 equation:

Simplifying
40v(v) + -46v + -5 = 0

Multiply v * v
40v2 + -46v + -5 = 0

Reorder the terms:
-5 + -46v + 40v2 = 0

Solving
-5 + -46v + 40v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -10v)(5 + -4v) = 0

Subproblem 1
Set the factor '(-1 + -10v)' equal to zero and attempt to solve:

Simplifying
-1 + -10v = 0

Solving
-1 + -10v = 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 + -10v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -10v = 0 + 1
-10v = 0 + 1

Combine like terms: 0 + 1 = 1
-10v = 1

Divide each side by '-10'.
v = -0.1

Simplifying
v = -0.1
Subproblem 2
Set the factor '(5 + -4v)' equal to zero and attempt to solve:

Simplifying
5 + -4v = 0

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

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

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

Divide each side by '-4'.
v = 1.25

Simplifying
v = 1.25
Solution
v = {-0.1, 1.25}