v^2-40v+404=0

Solution for v^2-40v+404=0 equation:

Simplifying
v2 + -40v + 404 = 0

Reorder the terms:
404 + -40v + v2 = 0

Solving
404 + -40v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-404' to each side of the equation.
404 + -40v + -404 + v2 = 0 + -404

Reorder the terms:
404 + -404 + -40v + v2 = 0 + -404

Combine like terms: 404 + -404 = 0
0 + -40v + v2 = 0 + -404
-40v + v2 = 0 + -404

Combine like terms: 0 + -404 = -404
-40v + v2 = -404

The v term is -40v.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40v + 400 + v2 = -404 + 400

Reorder the terms:
400 + -40v + v2 = -404 + 400

Combine like terms: -404 + 400 = -4
400 + -40v + v2 = -4

Factor a perfect square on the left side:
(v + -20)(v + -20) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.