(7v^2-5v+4)+(-5v^2-9v-3)-(4V^2+7v-4)=

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Solution for (7v^2-5v+4)+(-5v^2-9v-3)-(4V^2+7v-4)= equation:


Simplifying
(7v2 + -5v + 4) + (-5v2 + -9v + -3) + -1(4V2 + 7v + -4) = 0

Reorder the terms:
(4 + -5v + 7v2) + (-5v2 + -9v + -3) + -1(4V2 + 7v + -4) = 0

Remove parenthesis around (4 + -5v + 7v2)
4 + -5v + 7v2 + (-5v2 + -9v + -3) + -1(4V2 + 7v + -4) = 0

Reorder the terms:
4 + -5v + 7v2 + (-3 + -9v + -5v2) + -1(4V2 + 7v + -4) = 0

Remove parenthesis around (-3 + -9v + -5v2)
4 + -5v + 7v2 + -3 + -9v + -5v2 + -1(4V2 + 7v + -4) = 0

Reorder the terms:
4 + -5v + 7v2 + -3 + -9v + -5v2 + -1(-4 + 4V2 + 7v) = 0
4 + -5v + 7v2 + -3 + -9v + -5v2 + (-4 * -1 + 4V2 * -1 + 7v * -1) = 0
4 + -5v + 7v2 + -3 + -9v + -5v2 + (4 + -4V2 + -7v) = 0

Reorder the terms:
4 + -3 + 4 + -4V2 + -5v + -9v + -7v + 7v2 + -5v2 = 0

Combine like terms: 4 + -3 = 1
1 + 4 + -4V2 + -5v + -9v + -7v + 7v2 + -5v2 = 0

Combine like terms: 1 + 4 = 5
5 + -4V2 + -5v + -9v + -7v + 7v2 + -5v2 = 0

Combine like terms: -5v + -9v = -14v
5 + -4V2 + -14v + -7v + 7v2 + -5v2 = 0

Combine like terms: -14v + -7v = -21v
5 + -4V2 + -21v + 7v2 + -5v2 = 0

Combine like terms: 7v2 + -5v2 = 2v2
5 + -4V2 + -21v + 2v2 = 0

Solving
5 + -4V2 + -21v + 2v2 = 0

Solving for variable 'V'.

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

Add '-5' to each side of the equation.
5 + -4V2 + -21v + -5 + 2v2 = 0 + -5

Reorder the terms:
5 + -5 + -4V2 + -21v + 2v2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4V2 + -21v + 2v2 = 0 + -5
-4V2 + -21v + 2v2 = 0 + -5

Combine like terms: 0 + -5 = -5
-4V2 + -21v + 2v2 = -5

Add '21v' to each side of the equation.
-4V2 + -21v + 21v + 2v2 = -5 + 21v

Combine like terms: -21v + 21v = 0
-4V2 + 0 + 2v2 = -5 + 21v
-4V2 + 2v2 = -5 + 21v

Add '-2v2' to each side of the equation.
-4V2 + 2v2 + -2v2 = -5 + 21v + -2v2

Combine like terms: 2v2 + -2v2 = 0
-4V2 + 0 = -5 + 21v + -2v2
-4V2 = -5 + 21v + -2v2

Divide each side by '-4'.
V2 = 1.25 + -5.25v + 0.5v2

Simplifying
V2 = 1.25 + -5.25v + 0.5v2

Reorder the terms:
-1.25 + V2 + 5.25v + -0.5v2 = 1.25 + -5.25v + 0.5v2 + -1.25 + 5.25v + -0.5v2

Reorder the terms:
-1.25 + V2 + 5.25v + -0.5v2 = 1.25 + -1.25 + -5.25v + 5.25v + 0.5v2 + -0.5v2

Combine like terms: 1.25 + -1.25 = 0.00
-1.25 + V2 + 5.25v + -0.5v2 = 0.00 + -5.25v + 5.25v + 0.5v2 + -0.5v2
-1.25 + V2 + 5.25v + -0.5v2 = -5.25v + 5.25v + 0.5v2 + -0.5v2

Combine like terms: -5.25v + 5.25v = 0.00
-1.25 + V2 + 5.25v + -0.5v2 = 0.00 + 0.5v2 + -0.5v2
-1.25 + V2 + 5.25v + -0.5v2 = 0.5v2 + -0.5v2

Combine like terms: 0.5v2 + -0.5v2 = 0.0
-1.25 + V2 + 5.25v + -0.5v2 = 0.0

The solution to this equation could not be determined.

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