(-6v^2-v+6)+(3v^2-2v+4)+(-7v^2+3v+8)=

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Solution for (-6v^2-v+6)+(3v^2-2v+4)+(-7v^2+3v+8)= equation: 


Simplifying
(-6v2 + -1v + 6) + (3v2 + -2v + 4) + (-7v2 + 3v + 8) = 0

Reorder the terms:
(6 + -1v + -6v2) + (3v2 + -2v + 4) + (-7v2 + 3v + 8) = 0

Remove parenthesis around (6 + -1v + -6v2)
6 + -1v + -6v2 + (3v2 + -2v + 4) + (-7v2 + 3v + 8) = 0

Reorder the terms:
6 + -1v + -6v2 + (4 + -2v + 3v2) + (-7v2 + 3v + 8) = 0

Remove parenthesis around (4 + -2v + 3v2)
6 + -1v + -6v2 + 4 + -2v + 3v2 + (-7v2 + 3v + 8) = 0

Reorder the terms:
6 + -1v + -6v2 + 4 + -2v + 3v2 + (8 + 3v + -7v2) = 0

Remove parenthesis around (8 + 3v + -7v2)
6 + -1v + -6v2 + 4 + -2v + 3v2 + 8 + 3v + -7v2 = 0

Reorder the terms:
6 + 4 + 8 + -1v + -2v + 3v + -6v2 + 3v2 + -7v2 = 0

Combine like terms: 6 + 4 = 10
10 + 8 + -1v + -2v + 3v + -6v2 + 3v2 + -7v2 = 0

Combine like terms: 10 + 8 = 18
18 + -1v + -2v + 3v + -6v2 + 3v2 + -7v2 = 0

Combine like terms: -1v + -2v = -3v
18 + -3v + 3v + -6v2 + 3v2 + -7v2 = 0

Combine like terms: -3v + 3v = 0
18 + 0 + -6v2 + 3v2 + -7v2 = 0
18 + -6v2 + 3v2 + -7v2 = 0

Combine like terms: -6v2 + 3v2 = -3v2
18 + -3v2 + -7v2 = 0

Combine like terms: -3v2 + -7v2 = -10v2
18 + -10v2 = 0

Solving
18 + -10v2 = 0

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + -10v2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -10v2 = 0 + -18
-10v2 = 0 + -18

Combine like terms: 0 + -18 = -18
-10v2 = -18

Divide each side by '-10'.
v2 = 1.8

Simplifying
v2 = 1.8

Take the square root of each side:
v = {-1.341640787, 1.341640787}

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