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Simplifying
(9m + 4)(9m + -4) = 0
Reorder the terms:
(4 + 9m)(9m + -4) = 0
Reorder the terms:
(4 + 9m)(-4 + 9m) = 0
Multiply (4 + 9m) * (-4 + 9m)
(4(-4 + 9m) + 9m * (-4 + 9m)) = 0
((-4 * 4 + 9m * 4) + 9m * (-4 + 9m)) = 0
((-16 + 36m) + 9m * (-4 + 9m)) = 0
(-16 + 36m + (-4 * 9m + 9m * 9m)) = 0
(-16 + 36m + (-36m + 81m2)) = 0
Combine like terms: 36m + -36m = 0
(-16 + 0 + 81m2) = 0
(-16 + 81m2) = 0
Solving
-16 + 81m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 81m2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 81m2 = 0 + 16
81m2 = 0 + 16
Combine like terms: 0 + 16 = 16
81m2 = 16
Divide each side by '81'.
m2 = 0.1975308642
Simplifying
m2 = 0.1975308642
Take the square root of each side:
m = {-0.444444444, 0.444444444}
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