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Simplifying
(8 + -5m)(8 + 5m) = 0
Multiply (8 + -5m) * (8 + 5m)
(8(8 + 5m) + -5m * (8 + 5m)) = 0
((8 * 8 + 5m * 8) + -5m * (8 + 5m)) = 0
((64 + 40m) + -5m * (8 + 5m)) = 0
(64 + 40m + (8 * -5m + 5m * -5m)) = 0
(64 + 40m + (-40m + -25m2)) = 0
Combine like terms: 40m + -40m = 0
(64 + 0 + -25m2) = 0
(64 + -25m2) = 0
Solving
64 + -25m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-64' to each side of the equation.
64 + -64 + -25m2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -25m2 = 0 + -64
-25m2 = 0 + -64
Combine like terms: 0 + -64 = -64
-25m2 = -64
Divide each side by '-25'.
m2 = 2.56
Simplifying
m2 = 2.56
Take the square root of each side:
m = {-1.6, 1.6}
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