5V^2=17V-6

Solution for 5V^2=17V-6 equation:

Simplifying
5V2 = 17V + -6

Reorder the terms:
5V2 = -6 + 17V

Solving
5V2 = -6 + 17V

Solving for variable 'V'.

Reorder the terms:
6 + -17V + 5V2 = -6 + 17V + 6 + -17V

Reorder the terms:
6 + -17V + 5V2 = -6 + 6 + 17V + -17V

Combine like terms: -6 + 6 = 0
6 + -17V + 5V2 = 0 + 17V + -17V
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}