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Simplifying
2m2 + 9 = 137
Reorder the terms:
9 + 2m2 = 137
Solving
9 + 2m2 = 137
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 = 137 + -9
Combine like terms: 9 + -9 = 0
0 + 2m2 = 137 + -9
2m2 = 137 + -9
Combine like terms: 137 + -9 = 128
2m2 = 128
Divide each side by '2'.
m2 = 64
Simplifying
m2 = 64
Take the square root of each side:
m = {-8, 8}
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