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Simplifying
(3m + -20)(3m + 20) = 0
Reorder the terms:
(-20 + 3m)(3m + 20) = 0
Reorder the terms:
(-20 + 3m)(20 + 3m) = 0
Multiply (-20 + 3m) * (20 + 3m)
(-20(20 + 3m) + 3m * (20 + 3m)) = 0
((20 * -20 + 3m * -20) + 3m * (20 + 3m)) = 0
((-400 + -60m) + 3m * (20 + 3m)) = 0
(-400 + -60m + (20 * 3m + 3m * 3m)) = 0
(-400 + -60m + (60m + 9m2)) = 0
Combine like terms: -60m + 60m = 0
(-400 + 0 + 9m2) = 0
(-400 + 9m2) = 0
Solving
-400 + 9m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '400' to each side of the equation.
-400 + 400 + 9m2 = 0 + 400
Combine like terms: -400 + 400 = 0
0 + 9m2 = 0 + 400
9m2 = 0 + 400
Combine like terms: 0 + 400 = 400
9m2 = 400
Divide each side by '9'.
m2 = 44.44444444
Simplifying
m2 = 44.44444444
Take the square root of each side:
m = {-6.666666666, 6.666666666}
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