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Simplifying
2m2 + 9 = 41
Reorder the terms:
9 + 2m2 = 41
Solving
9 + 2m2 = 41
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 2m2 = 41 + -9
Combine like terms: 9 + -9 = 0
0 + 2m2 = 41 + -9
2m2 = 41 + -9
Combine like terms: 41 + -9 = 32
2m2 = 32
Divide each side by '2'.
m2 = 16
Simplifying
m2 = 16
Take the square root of each side:
m = {-4, 4}
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