(5v^2-2v+4)+(-3v^2+v+7)=

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Solution for (5v^2-2v+4)+(-3v^2+v+7)= equation: 


Simplifying
(5v2 + -2v + 4) + (-3v2 + v + 7) = 0

Reorder the terms:
(4 + -2v + 5v2) + (-3v2 + v + 7) = 0

Remove parenthesis around (4 + -2v + 5v2)
4 + -2v + 5v2 + (-3v2 + v + 7) = 0

Reorder the terms:
4 + -2v + 5v2 + (7 + v + -3v2) = 0

Remove parenthesis around (7 + v + -3v2)
4 + -2v + 5v2 + 7 + v + -3v2 = 0

Reorder the terms:
4 + 7 + -2v + v + 5v2 + -3v2 = 0

Combine like terms: 4 + 7 = 11
11 + -2v + v + 5v2 + -3v2 = 0

Combine like terms: -2v + v = -1v
11 + -1v + 5v2 + -3v2 = 0

Combine like terms: 5v2 + -3v2 = 2v2
11 + -1v + 2v2 = 0

Solving
11 + -1v + 2v2 = 0

Solving for variable 'v'.

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

Divide each side by '2'.
5.5 + -0.5v + v2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -0.5v + -5.5 + v2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -0.5v + v2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -0.5v + v2 = 0 + -5.5
-0.5v + v2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-0.5v + v2 = -5.5

The v term is -0.5v.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5v + 0.0625 + v2 = -5.5 + 0.0625

Reorder the terms:
0.0625 + -0.5v + v2 = -5.5 + 0.0625

Combine like terms: -5.5 + 0.0625 = -5.4375
0.0625 + -0.5v + v2 = -5.4375

Factor a perfect square on the left side:
(v + -0.25)(v + -0.25) = -5.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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