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Simplifying y2 = -17y Solving y2 = -17y Solving for variable 'y'. Reorder the terms: 17y + y2 = -17y + 17y Combine like terms: -17y + 17y = 0 17y + y2 = 0 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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