-5v^2+17v-6=0

Solution for -5v^2+17v-6=0 equation:

Simplifying
-5v2 + 17v + -6 = 0

Reorder the terms:
-6 + 17v + -5v2 = 0

Solving
-6 + 17v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + v)(2 + -5v) = 0

Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve:

Simplifying
-3 + v = 0

Solving
-3 + v = 0

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

Add '3' to each side of the equation.
-3 + 3 + v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + v = 0 + 3
v = 0 + 3

Combine like terms: 0 + 3 = 3
v = 3

Simplifying
v = 3
Subproblem 2
Set the factor '(2 + -5v)' equal to zero and attempt to solve:

Simplifying
2 + -5v = 0

Solving
2 + -5v = 0

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

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

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

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

Divide each side by '-5'.
v = 0.4

Simplifying
v = 0.4
Solution
v = {3, 0.4}