V^2+5V-6=0

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

Simplifying
V2 + 5V + -6 = 0

Reorder the terms:
-6 + 5V + V2 = 0

Solving
-6 + 5V + V2 = 0

Solving for variable 'V'.

Factor a trinomial.
(-6 + -1V)(1 + -1V) = 0

Subproblem 1
Set the factor '(-6 + -1V)' equal to zero and attempt to solve:

Simplifying
-6 + -1V = 0

Solving
-6 + -1V = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1V = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1V = 0 + 6
-1V = 0 + 6

Combine like terms: 0 + 6 = 6
-1V = 6

Divide each side by '-1'.
V = -6

Simplifying
V = -6
Subproblem 2
Set the factor '(1 + -1V)' equal to zero and attempt to solve:

Simplifying
1 + -1V = 0

Solving
1 + -1V = 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 + -1V = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1V = 0 + -1
-1V = 0 + -1

Combine like terms: 0 + -1 = -1
-1V = -1

Divide each side by '-1'.
V = 1

Simplifying
V = 1
Solution
V = {-6, 1}