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Simplifying
4m2 + -5 = 99
Reorder the terms:
-5 + 4m2 = 99
Solving
-5 + 4m2 = 99
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 4m2 = 99 + 5
Combine like terms: -5 + 5 = 0
0 + 4m2 = 99 + 5
4m2 = 99 + 5
Combine like terms: 99 + 5 = 104
4m2 = 104
Divide each side by '4'.
m2 = 26
Simplifying
m2 = 26
Take the square root of each side:
m = {-5.099019514, 5.099019514}
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