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Simplifying 3x2 + -60xy + 108y2 = 0 Reorder the terms: -60xy + 3x2 + 108y2 = 0 Solving -60xy + 3x2 + 108y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-20xy + x2 + 36y2) = 0 Factor a trinomial. 3((x + -18y)(x + -2y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(x + -18y)' equal to zero and attempt to solve: Simplifying x + -18y = 0 Solving x + -18y = 0 Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 x + 0 = 0 + 18y x = 0 + 18y Remove the zero: x = 18y Simplifying x = 18ySubproblem 2
Set the factor '(x + -2y)' equal to zero and attempt to solve: Simplifying x + -2y = 0 Solving x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2ySolution
x = {18y, 2y}
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