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Simplifying
(4 + -5u)(4 + 5u) = 0
Multiply (4 + -5u) * (4 + 5u)
(4(4 + 5u) + -5u * (4 + 5u)) = 0
((4 * 4 + 5u * 4) + -5u * (4 + 5u)) = 0
((16 + 20u) + -5u * (4 + 5u)) = 0
(16 + 20u + (4 * -5u + 5u * -5u)) = 0
(16 + 20u + (-20u + -25u2)) = 0
Combine like terms: 20u + -20u = 0
(16 + 0 + -25u2) = 0
(16 + -25u2) = 0
Solving
16 + -25u2 = 0
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + -25u2 = 0 + -16
Combine like terms: 16 + -16 = 0
0 + -25u2 = 0 + -16
-25u2 = 0 + -16
Combine like terms: 0 + -16 = -16
-25u2 = -16
Divide each side by '-25'.
u2 = 0.64
Simplifying
u2 = 0.64
Take the square root of each side:
u = {-0.8, 0.8}
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