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Simplifying x2 + 19xy + 60y2 = 0 Reorder the terms: 19xy + x2 + 60y2 = 0 Solving 19xy + x2 + 60y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 4y)(x + 15y) = 0Subproblem 1
Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySubproblem 2
Set the factor '(x + 15y)' equal to zero and attempt to solve: Simplifying x + 15y = 0 Solving x + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. x + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 x + 0 = 0 + -15y x = 0 + -15y Remove the zero: x = -15y Simplifying x = -15ySolution
x = {-4y, -15y}
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