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Simplifying y2 + -18y + y = 0 Reorder the terms: -18y + y + y2 = 0 Combine like terms: -18y + y = -17y -17y + y2 = 0 Solving -17y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-17 + 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 '(-17 + y)' equal to zero and attempt to solve: Simplifying -17 + y = 0 Solving -17 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + y = 0 + 17 y = 0 + 17 Combine like terms: 0 + 17 = 17 y = 17 Simplifying y = 17Solution
y = {0, 17}
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