(-7v^2+6v+7)+(-8v^2-4v+2)-(9v^2+2v-2)=

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Solution for (-7v^2+6v+7)+(-8v^2-4v+2)-(9v^2+2v-2)= equation: 


Simplifying
(-7v2 + 6v + 7) + (-8v2 + -4v + 2) + -1(9v2 + 2v + -2) = 0

Reorder the terms:
(7 + 6v + -7v2) + (-8v2 + -4v + 2) + -1(9v2 + 2v + -2) = 0

Remove parenthesis around (7 + 6v + -7v2)
7 + 6v + -7v2 + (-8v2 + -4v + 2) + -1(9v2 + 2v + -2) = 0

Reorder the terms:
7 + 6v + -7v2 + (2 + -4v + -8v2) + -1(9v2 + 2v + -2) = 0

Remove parenthesis around (2 + -4v + -8v2)
7 + 6v + -7v2 + 2 + -4v + -8v2 + -1(9v2 + 2v + -2) = 0

Reorder the terms:
7 + 6v + -7v2 + 2 + -4v + -8v2 + -1(-2 + 2v + 9v2) = 0
7 + 6v + -7v2 + 2 + -4v + -8v2 + (-2 * -1 + 2v * -1 + 9v2 * -1) = 0
7 + 6v + -7v2 + 2 + -4v + -8v2 + (2 + -2v + -9v2) = 0

Reorder the terms:
7 + 2 + 2 + 6v + -4v + -2v + -7v2 + -8v2 + -9v2 = 0

Combine like terms: 7 + 2 = 9
9 + 2 + 6v + -4v + -2v + -7v2 + -8v2 + -9v2 = 0

Combine like terms: 9 + 2 = 11
11 + 6v + -4v + -2v + -7v2 + -8v2 + -9v2 = 0

Combine like terms: 6v + -4v = 2v
11 + 2v + -2v + -7v2 + -8v2 + -9v2 = 0

Combine like terms: 2v + -2v = 0
11 + 0 + -7v2 + -8v2 + -9v2 = 0
11 + -7v2 + -8v2 + -9v2 = 0

Combine like terms: -7v2 + -8v2 = -15v2
11 + -15v2 + -9v2 = 0

Combine like terms: -15v2 + -9v2 = -24v2
11 + -24v2 = 0

Solving
11 + -24v2 = 0

Solving for variable 'v'.

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

Add '-11' to each side of the equation.
11 + -11 + -24v2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -24v2 = 0 + -11
-24v2 = 0 + -11

Combine like terms: 0 + -11 = -11
-24v2 = -11

Divide each side by '-24'.
v2 = 0.4583333333

Simplifying
v2 = 0.4583333333

Take the square root of each side:
v = {-0.6770032, 0.6770032}

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