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Simplifying
6m2 + -17 + 5 = 0
Reorder the terms:
-17 + 5 + 6m2 = 0
Combine like terms: -17 + 5 = -12
-12 + 6m2 = 0
Solving
-12 + 6m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 6m2 = 0 + 12
Combine like terms: -12 + 12 = 0
0 + 6m2 = 0 + 12
6m2 = 0 + 12
Combine like terms: 0 + 12 = 12
6m2 = 12
Divide each side by '6'.
m2 = 2
Simplifying
m2 = 2
Take the square root of each side:
m = {-1.414213562, 1.414213562}
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