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Simplifying 9u2 + 48uy + 64y2 = 0 Reorder the terms: 48uy + 9u2 + 64y2 = 0 Solving 48uy + 9u2 + 64y2 = 0 Solving for variable 'u'. Factor a trinomial. (3u + 8y)(3u + 8y) = 0Subproblem 1
Set the factor '(3u + 8y)' equal to zero and attempt to solve: Simplifying 3u + 8y = 0 Solving 3u + 8y = 0 Move all terms containing u to the left, all other terms to the right. Add '-8y' to each side of the equation. 3u + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 3u + 0 = 0 + -8y 3u = 0 + -8y Remove the zero: 3u = -8y Divide each side by '3'. u = -2.666666667y Simplifying u = -2.666666667ySubproblem 2
Set the factor '(3u + 8y)' equal to zero and attempt to solve: Simplifying 3u + 8y = 0 Solving 3u + 8y = 0 Move all terms containing u to the left, all other terms to the right. Add '-8y' to each side of the equation. 3u + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 3u + 0 = 0 + -8y 3u = 0 + -8y Remove the zero: 3u = -8y Divide each side by '3'. u = -2.666666667y Simplifying u = -2.666666667ySolution
u = {-2.666666667y, -2.666666667y}
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