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Simplifying
2m2 + 7 = 117
Reorder the terms:
7 + 2m2 = 117
Solving
7 + 2m2 = 117
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 2m2 = 117 + -7
Combine like terms: 7 + -7 = 0
0 + 2m2 = 117 + -7
2m2 = 117 + -7
Combine like terms: 117 + -7 = 110
2m2 = 110
Divide each side by '2'.
m2 = 55
Simplifying
m2 = 55
Take the square root of each side:
m = {-7.416198487, 7.416198487}
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