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Simplifying u2 + 12uy + 36y2 = 0 Reorder the terms: 12uy + u2 + 36y2 = 0 Solving 12uy + u2 + 36y2 = 0 Solving for variable 'u'. Factor a trinomial. (u + 6y)(u + 6y) = 0Subproblem 1
Set the factor '(u + 6y)' equal to zero and attempt to solve: Simplifying u + 6y = 0 Solving u + 6y = 0 Move all terms containing u to the left, all other terms to the right. Add '-6y' to each side of the equation. u + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 u + 0 = 0 + -6y u = 0 + -6y Remove the zero: u = -6y Simplifying u = -6ySubproblem 2
Set the factor '(u + 6y)' equal to zero and attempt to solve: Simplifying u + 6y = 0 Solving u + 6y = 0 Move all terms containing u to the left, all other terms to the right. Add '-6y' to each side of the equation. u + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 u + 0 = 0 + -6y u = 0 + -6y Remove the zero: u = -6y Simplifying u = -6ySolution
u = {-6y, -6y}
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