-10v^2=2+4v

Solution for -10v^2=2+4v equation:

Simplifying
-10v2 = 2 + 4v

Solving
-10v2 = 2 + 4v

Solving for variable 'v'.

Reorder the terms:
-2 + -4v + -10v2 = 2 + 4v + -2 + -4v

Reorder the terms:
-2 + -4v + -10v2 = 2 + -2 + 4v + -4v

Combine like terms: 2 + -2 = 0
-2 + -4v + -10v2 = 0 + 4v + -4v
-2 + -4v + -10v2 = 4v + -4v

Combine like terms: 4v + -4v = 0
-2 + -4v + -10v2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 2v + 5v2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(1 + 2v + 5v2)' equal to zero and attempt to solve:

Simplifying
1 + 2v + 5v2 = 0

Solving
1 + 2v + 5v2 = 0

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

Divide each side by '5'.
0.2 + 0.4v + v2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 0.4v + -0.2 + v2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 0.4v + v2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.4v + v2 = 0 + -0.2
0.4v + v2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
0.4v + v2 = -0.2

The v term is 0.4v.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4v + 0.04 + v2 = -0.2 + 0.04

Reorder the terms:
0.04 + 0.4v + v2 = -0.2 + 0.04

Combine like terms: -0.2 + 0.04 = -0.16
0.04 + 0.4v + v2 = -0.16

Factor a perfect square on the left side:
(v + 0.2)(v + 0.2) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.