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Simplifying
100m2 + -49n2 = 0
Solving
100m2 + -49n2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '49n2' to each side of the equation.
100m2 + -49n2 + 49n2 = 0 + 49n2
Combine like terms: -49n2 + 49n2 = 0
100m2 + 0 = 0 + 49n2
100m2 = 0 + 49n2
Remove the zero:
100m2 = 49n2
Divide each side by '100'.
m2 = 0.49n2
Simplifying
m2 = 0.49n2
Take the square root of each side:
m = {-0.7n, 0.7n}
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