12-2v^2=7-v^2

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Solution for 12-2v^2=7-v^2 equation:


Simplifying
12 + -2v2 = 7 + -1v2

Solving
12 + -2v2 = 7 + -1v2

Solving for variable 'v'.

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

Add 'v2' to each side of the equation.
12 + -2v2 + v2 = 7 + -1v2 + v2

Combine like terms: -2v2 + v2 = -1v2
12 + -1v2 = 7 + -1v2 + v2

Combine like terms: -1v2 + v2 = 0
12 + -1v2 = 7 + 0
12 + -1v2 = 7

Add '-12' to each side of the equation.
12 + -12 + -1v2 = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -1v2 = 7 + -12
-1v2 = 7 + -12

Combine like terms: 7 + -12 = -5
-1v2 = -5

Divide each side by '-1'.
v2 = 5

Simplifying
v2 = 5

Take the square root of each side:
v = {-2.236067978, 2.236067978}

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