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Simplifying
4m2 + 10 = 94
Reorder the terms:
10 + 4m2 = 94
Solving
10 + 4m2 = 94
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 4m2 = 94 + -10
Combine like terms: 10 + -10 = 0
0 + 4m2 = 94 + -10
4m2 = 94 + -10
Combine like terms: 94 + -10 = 84
4m2 = 84
Divide each side by '4'.
m2 = 21
Simplifying
m2 = 21
Take the square root of each side:
m = {-4.582575695, 4.582575695}
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