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Simplifying
3m2 + -12n2 = 0
Solving
3m2 + -12n2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '12n2' to each side of the equation.
3m2 + -12n2 + 12n2 = 0 + 12n2
Combine like terms: -12n2 + 12n2 = 0
3m2 + 0 = 0 + 12n2
3m2 = 0 + 12n2
Remove the zero:
3m2 = 12n2
Divide each side by '3'.
m2 = 4n2
Simplifying
m2 = 4n2
Take the square root of each side:
m = {-2n, 2n}
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