10v^2+20v+47=10

Solution for 10v^2+20v+47=10 equation:

Simplifying
10v2 + 20v + 47 = 10

Reorder the terms:
47 + 20v + 10v2 = 10

Solving
47 + 20v + 10v2 = 10

Solving for variable 'v'.

Reorder the terms:
47 + -10 + 20v + 10v2 = 10 + -10

Combine like terms: 47 + -10 = 37
37 + 20v + 10v2 = 10 + -10

Combine like terms: 10 + -10 = 0
37 + 20v + 10v2 = 0

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term: 

Divide each side by '10'.
3.7 + 2v + v2 = 0

Move the constant term to the right:

Add '-3.7' to each side of the equation.
3.7 + 2v + -3.7 + v2 = 0 + -3.7

Reorder the terms:
3.7 + -3.7 + 2v + v2 = 0 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + 2v + v2 = 0 + -3.7
2v + v2 = 0 + -3.7

Combine like terms: 0 + -3.7 = -3.7
2v + v2 = -3.7

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 = -3.7 + 1

Reorder the terms:
1 + 2v + v2 = -3.7 + 1

Combine like terms: -3.7 + 1 = -2.7
1 + 2v + v2 = -2.7

Factor a perfect square on the left side:
(v + 1)(v + 1) = -2.7

Can't calculate square root of the right side.

The solution to this equation could not be determined.