v^2-5=8-2v^2

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Solution for v^2-5=8-2v^2 equation: 


Simplifying
v2 + -5 = 8 + -2v2

Reorder the terms:
-5 + v2 = 8 + -2v2

Solving
-5 + v2 = 8 + -2v2

Solving for variable 'v'.

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

Add '2v2' to each side of the equation.
-5 + v2 + 2v2 = 8 + -2v2 + 2v2

Combine like terms: v2 + 2v2 = 3v2
-5 + 3v2 = 8 + -2v2 + 2v2

Combine like terms: -2v2 + 2v2 = 0
-5 + 3v2 = 8 + 0
-5 + 3v2 = 8

Add '5' to each side of the equation.
-5 + 5 + 3v2 = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 3v2 = 8 + 5
3v2 = 8 + 5

Combine like terms: 8 + 5 = 13
3v2 = 13

Divide each side by '3'.
v2 = 4.333333333

Simplifying
v2 = 4.333333333

Take the square root of each side:
v = {-2.081665999, 2.081665999}

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