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Simplifying 20y2 = 80y + 100 Reorder the terms: 20y2 = 100 + 80y Solving 20y2 = 100 + 80y Solving for variable 'y'. Reorder the terms: -100 + -80y + 20y2 = 100 + 80y + -100 + -80y Reorder the terms: -100 + -80y + 20y2 = 100 + -100 + 80y + -80y Combine like terms: 100 + -100 = 0 -100 + -80y + 20y2 = 0 + 80y + -80y -100 + -80y + 20y2 = 80y + -80y Combine like terms: 80y + -80y = 0 -100 + -80y + 20y2 = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-5 + -4y + y2) = 0 Factor a trinomial. 20((-1 + -1y)(5 + -1y)) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-1, 5}
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