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Simplifying y2 = 17xy + 2y Solving y2 = 17xy + 2y Solving for variable 'y'. Reorder the terms: -17xy + -2y + y2 = 17xy + 2y + -17xy + -2y Reorder the terms: -17xy + -2y + y2 = 17xy + -17xy + 2y + -2y Combine like terms: 17xy + -17xy = 0 -17xy + -2y + y2 = 0 + 2y + -2y -17xy + -2y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 -17xy + -2y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-17x + -2 + y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-17x + -2 + y)' equal to zero and attempt to solve: Simplifying -17x + -2 + y = 0 Reorder the terms: -2 + -17x + y = 0 Solving -2 + -17x + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -17x + 2 + y = 0 + 2 Reorder the terms: -2 + 2 + -17x + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -17x + y = 0 + 2 -17x + y = 0 + 2 Combine like terms: 0 + 2 = 2 -17x + y = 2 Add '17x' to each side of the equation. -17x + 17x + y = 2 + 17x Combine like terms: -17x + 17x = 0 0 + y = 2 + 17x y = 2 + 17x Simplifying y = 2 + 17xSolution
y = {0, 2 + 17x}
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