(-4v^2+8v+4)+(3v^2-5v-7)-(-v^2+5v+4)=0

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Solution for (-4v^2+8v+4)+(3v^2-5v-7)-(-v^2+5v+4)=0 equation: 


Simplifying
(-4v2 + 8v + 4) + (3v2 + -5v + -7) + -1(-1v2 + 5v + 4) = 0

Reorder the terms:
(4 + 8v + -4v2) + (3v2 + -5v + -7) + -1(-1v2 + 5v + 4) = 0

Remove parenthesis around (4 + 8v + -4v2)
4 + 8v + -4v2 + (3v2 + -5v + -7) + -1(-1v2 + 5v + 4) = 0

Reorder the terms:
4 + 8v + -4v2 + (-7 + -5v + 3v2) + -1(-1v2 + 5v + 4) = 0

Remove parenthesis around (-7 + -5v + 3v2)
4 + 8v + -4v2 + -7 + -5v + 3v2 + -1(-1v2 + 5v + 4) = 0

Reorder the terms:
4 + 8v + -4v2 + -7 + -5v + 3v2 + -1(4 + 5v + -1v2) = 0
4 + 8v + -4v2 + -7 + -5v + 3v2 + (4 * -1 + 5v * -1 + -1v2 * -1) = 0
4 + 8v + -4v2 + -7 + -5v + 3v2 + (-4 + -5v + 1v2) = 0

Reorder the terms:
4 + -7 + -4 + 8v + -5v + -5v + -4v2 + 3v2 + 1v2 = 0

Combine like terms: 4 + -7 = -3
-3 + -4 + 8v + -5v + -5v + -4v2 + 3v2 + 1v2 = 0

Combine like terms: -3 + -4 = -7
-7 + 8v + -5v + -5v + -4v2 + 3v2 + 1v2 = 0

Combine like terms: 8v + -5v = 3v
-7 + 3v + -5v + -4v2 + 3v2 + 1v2 = 0

Combine like terms: 3v + -5v = -2v
-7 + -2v + -4v2 + 3v2 + 1v2 = 0

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

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

Solving
-7 + -2v = 0

Solving for variable 'v'.

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

Add '7' to each side of the equation.
-7 + 7 + -2v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2v = 0 + 7
-2v = 0 + 7

Combine like terms: 0 + 7 = 7
-2v = 7

Divide each side by '-2'.
v = -3.5

Simplifying
v = -3.5

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