v^2-2v=-3

Solution for v^2-2v=-3 equation:

Simplifying
v2 + -2v = -3

Reorder the terms:
-2v + v2 = -3

Solving
-2v + v2 = -3

Solving for variable 'v'.

Reorder the terms:
3 + -2v + v2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -2v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2v + -3 + v2 = 0 + -3

Reorder the terms:
3 + -3 + -2v + v2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2v + v2 = 0 + -3
-2v + v2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2v + v2 = -3

The v term is -2v.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2v + 1 + v2 = -3 + 1

Reorder the terms:
1 + -2v + v2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2v + v2 = -2

Factor a perfect square on the left side:
(v + -1)(v + -1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.