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Simplifying
49m2 + -16 = 0
Reorder the terms:
-16 + 49m2 = 0
Solving
-16 + 49m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 49m2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 49m2 = 0 + 16
49m2 = 0 + 16
Combine like terms: 0 + 16 = 16
49m2 = 16
Divide each side by '49'.
m2 = 0.3265306122
Simplifying
m2 = 0.3265306122
Take the square root of each side:
m = {-0.571428571, 0.571428571}
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