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Simplifying 0 = 20y + -1y2 Solving 0 = 20y + -1y2 Solving for variable 'y'. Remove the zero: -20y + y2 = 20y + -1y2 + -20y + y2 Reorder the terms: -20y + y2 = 20y + -20y + -1y2 + y2 Combine like terms: 20y + -20y = 0 -20y + y2 = 0 + -1y2 + y2 -20y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -20y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-20 + 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 '(-20 + y)' equal to zero and attempt to solve: Simplifying -20 + y = 0 Solving -20 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + y = 0 + 20 y = 0 + 20 Combine like terms: 0 + 20 = 20 y = 20 Simplifying y = 20Solution
y = {0, 20}
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