0.4v^2+0.7v=0.3v^2-2

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Solution for 0.4v^2+0.7v=0.3v^2-2 equation: 


Simplifying
0.4v2 + 0.7v = 0.3v2 + -2

Reorder the terms:
0.7v + 0.4v2 = 0.3v2 + -2

Reorder the terms:
0.7v + 0.4v2 = -2 + 0.3v2

Solving
0.7v + 0.4v2 = -2 + 0.3v2

Solving for variable 'v'.

Reorder the terms:
2 + 0.7v + 0.4v2 + -0.3v2 = -2 + 0.3v2 + 2 + -0.3v2

Combine like terms: 0.4v2 + -0.3v2 = 0.1v2
2 + 0.7v + 0.1v2 = -2 + 0.3v2 + 2 + -0.3v2

Reorder the terms:
2 + 0.7v + 0.1v2 = -2 + 2 + 0.3v2 + -0.3v2

Combine like terms: -2 + 2 = 0
2 + 0.7v + 0.1v2 = 0 + 0.3v2 + -0.3v2
2 + 0.7v + 0.1v2 = 0.3v2 + -0.3v2

Combine like terms: 0.3v2 + -0.3v2 = 0.0
2 + 0.7v + 0.1v2 = 0.0

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

Divide each side by '0.1'.
20 + 7v + v2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 7v + -20 + v2 = 0 + -20

Reorder the terms:
20 + -20 + 7v + v2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7v + v2 = 0 + -20
7v + v2 = 0 + -20

Combine like terms: 0 + -20 = -20
7v + v2 = -20

The v term is 7v.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7v + 12.25 + v2 = -20 + 12.25

Reorder the terms:
12.25 + 7v + v2 = -20 + 12.25

Combine like terms: -20 + 12.25 = -7.75
12.25 + 7v + v2 = -7.75

Factor a perfect square on the left side:
(v + 3.5)(v + 3.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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