(5v^2+3v+8)+(-2v^2+2v)=

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Solution for (5v^2+3v+8)+(-2v^2+2v)= equation: 


Simplifying
(5v2 + 3v + 8) + (-2v2 + 2v) = 0

Reorder the terms:
(8 + 3v + 5v2) + (-2v2 + 2v) = 0

Remove parenthesis around (8 + 3v + 5v2)
8 + 3v + 5v2 + (-2v2 + 2v) = 0

Reorder the terms:
8 + 3v + 5v2 + (2v + -2v2) = 0

Remove parenthesis around (2v + -2v2)
8 + 3v + 5v2 + 2v + -2v2 = 0

Reorder the terms:
8 + 3v + 2v + 5v2 + -2v2 = 0

Combine like terms: 3v + 2v = 5v
8 + 5v + 5v2 + -2v2 = 0

Combine like terms: 5v2 + -2v2 = 3v2
8 + 5v + 3v2 = 0

Solving
8 + 5v + 3v2 = 0

Solving for variable 'v'.

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

Divide each side by '3'.
2.666666667 + 1.666666667v + v2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 1.666666667v + -2.666666667 + v2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 1.666666667v + v2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 1.666666667v + v2 = 0 + -2.666666667
1.666666667v + v2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
1.666666667v + v2 = -2.666666667

The v term is 1.666666667v.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667v + 0.6944444447 + v2 = -2.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667v + v2 = -2.666666667 + 0.6944444447

Combine like terms: -2.666666667 + 0.6944444447 = -1.9722222223
0.6944444447 + 1.666666667v + v2 = -1.9722222223

Factor a perfect square on the left side:
(v + 0.8333333335)(v + 0.8333333335) = -1.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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