84=3v^2+12

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Solution for 84=3v^2+12 equation:


Simplifying
84 = 3v2 + 12

Reorder the terms:
84 = 12 + 3v2

Solving
84 = 12 + 3v2

Solving for variable 'v'.

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

Add '-3v2' to each side of the equation.
84 + -3v2 = 12 + 3v2 + -3v2

Combine like terms: 3v2 + -3v2 = 0
84 + -3v2 = 12 + 0
84 + -3v2 = 12

Add '-84' to each side of the equation.
84 + -84 + -3v2 = 12 + -84

Combine like terms: 84 + -84 = 0
0 + -3v2 = 12 + -84
-3v2 = 12 + -84

Combine like terms: 12 + -84 = -72
-3v2 = -72

Divide each side by '-3'.
v2 = 24

Simplifying
v2 = 24

Take the square root of each side:
v = {-4.898979486, 4.898979486}

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