5v^2+6=17v

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

Simplifying
5v2 + 6 = 17v

Reorder the terms:
6 + 5v2 = 17v

Solving
6 + 5v2 = 17v

Solving for variable 'v'.

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

Combine like terms: 17v + -17v = 0
6 + -17v + 5v2 = 0

Factor a trinomial.
(2 + -5v)(3 + -1v) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 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 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

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