5v^2+4v+6=5

Solution for 5v^2+4v+6=5 equation:

Simplifying
5v2 + 4v + 6 = 5

Reorder the terms:
6 + 4v + 5v2 = 5

Solving
6 + 4v + 5v2 = 5

Solving for variable 'v'.

Reorder the terms:
6 + -5 + 4v + 5v2 = 5 + -5

Combine like terms: 6 + -5 = 1
1 + 4v + 5v2 = 5 + -5

Combine like terms: 5 + -5 = 0
1 + 4v + 5v2 = 0

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

Divide each side by '5'.
0.2 + 0.8v + v2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 0.8v + -0.2 + v2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.8v + v2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.8v + v2 = 0 + -0.2
0.8v + v2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.8v + v2 = -0.2

The v term is 0.8v.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8v + 0.16 + v2 = -0.2 + 0.16

Reorder the terms:
0.16 + 0.8v + v2 = -0.2 + 0.16

Combine like terms: -0.2 + 0.16 = -0.04
0.16 + 0.8v + v2 = -0.04

Factor a perfect square on the left side:
(v + 0.4)(v + 0.4) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.