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Simplifying y2 + -1y + -30y = 0 Reorder the terms: -1y + -30y + y2 = 0 Combine like terms: -1y + -30y = -31y -31y + y2 = 0 Solving -31y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-31 + 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 '(-31 + y)' equal to zero and attempt to solve: Simplifying -31 + y = 0 Solving -31 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + y = 0 + 31 y = 0 + 31 Combine like terms: 0 + 31 = 31 y = 31 Simplifying y = 31Solution
y = {0, 31}
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