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Simplifying 81u2 + 36uy + 4y2 = 0 Reorder the terms: 36uy + 81u2 + 4y2 = 0 Solving 36uy + 81u2 + 4y2 = 0 Solving for variable 'u'. Factor a trinomial. (9u + 2y)(9u + 2y) = 0Subproblem 1
Set the factor '(9u + 2y)' equal to zero and attempt to solve: Simplifying 9u + 2y = 0 Solving 9u + 2y = 0 Move all terms containing u to the left, all other terms to the right. Add '-2y' to each side of the equation. 9u + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 9u + 0 = 0 + -2y 9u = 0 + -2y Remove the zero: 9u = -2y Divide each side by '9'. u = -0.2222222222y Simplifying u = -0.2222222222ySubproblem 2
Set the factor '(9u + 2y)' equal to zero and attempt to solve: Simplifying 9u + 2y = 0 Solving 9u + 2y = 0 Move all terms containing u to the left, all other terms to the right. Add '-2y' to each side of the equation. 9u + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 9u + 0 = 0 + -2y 9u = 0 + -2y Remove the zero: 9u = -2y Divide each side by '9'. u = -0.2222222222y Simplifying u = -0.2222222222ySolution
u = {-0.2222222222y, -0.2222222222y}
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