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Simplifying
8m2 + -72n2 = 0
Solving
8m2 + -72n2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '72n2' to each side of the equation.
8m2 + -72n2 + 72n2 = 0 + 72n2
Combine like terms: -72n2 + 72n2 = 0
8m2 + 0 = 0 + 72n2
8m2 = 0 + 72n2
Remove the zero:
8m2 = 72n2
Divide each side by '8'.
m2 = 9n2
Simplifying
m2 = 9n2
Take the square root of each side:
m = {-3n, 3n}
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