v^2+10v+45=3

Solution for v^2+10v+45=3 equation:

Simplifying
v2 + 10v + 45 = 3

Reorder the terms:
45 + 10v + v2 = 3

Solving
45 + 10v + v2 = 3

Solving for variable 'v'.

Reorder the terms:
45 + -3 + 10v + v2 = 3 + -3

Combine like terms: 45 + -3 = 42
42 + 10v + v2 = 3 + -3

Combine like terms: 3 + -3 = 0
42 + 10v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + 10v + -42 + v2 = 0 + -42

Reorder the terms:
42 + -42 + 10v + v2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 10v + v2 = 0 + -42
10v + v2 = 0 + -42

Combine like terms: 0 + -42 = -42
10v + v2 = -42

The v term is 10v.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10v + 25 + v2 = -42 + 25

Reorder the terms:
25 + 10v + v2 = -42 + 25

Combine like terms: -42 + 25 = -17
25 + 10v + v2 = -17

Factor a perfect square on the left side:
(v + 5)(v + 5) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.