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Simplifying
9m2 + -24 + -9 = 0
Reorder the terms:
-24 + -9 + 9m2 = 0
Combine like terms: -24 + -9 = -33
-33 + 9m2 = 0
Solving
-33 + 9m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '33' to each side of the equation.
-33 + 33 + 9m2 = 0 + 33
Combine like terms: -33 + 33 = 0
0 + 9m2 = 0 + 33
9m2 = 0 + 33
Combine like terms: 0 + 33 = 33
9m2 = 33
Divide each side by '9'.
m2 = 3.666666667
Simplifying
m2 = 3.666666667
Take the square root of each side:
m = {-1.914854216, 1.914854216}
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