3V^2+7V-6=0

Solution for 3V^2+7V-6=0 equation:

Simplifying
3V2 + 7V + -6 = 0

Reorder the terms:
-6 + 7V + 3V2 = 0

Solving
-6 + 7V + 3V2 = 0

Solving for variable 'V'.

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

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

Simplifying
2 + -3V = 0

Solving
2 + -3V = 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 + -3V = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3V = 0 + -2
-3V = 0 + -2

Combine like terms: 0 + -2 = -2
-3V = -2

Divide each side by '-3'.
V = 0.6666666667

Simplifying
V = 0.6666666667
Solution
V = {-3, 0.6666666667}