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Simplifying
2m2 + -50 = 0
Reorder the terms:
-50 + 2m2 = 0
Solving
-50 + 2m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 2m2 = 0 + 50
Combine like terms: -50 + 50 = 0
0 + 2m2 = 0 + 50
2m2 = 0 + 50
Combine like terms: 0 + 50 = 50
2m2 = 50
Divide each side by '2'.
m2 = 25
Simplifying
m2 = 25
Take the square root of each side:
m = {-5, 5}
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