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Simplifying y2 + -13y = 140 Reorder the terms: -13y + y2 = 140 Solving -13y + y2 = 140 Solving for variable 'y'. Reorder the terms: -140 + -13y + y2 = 140 + -140 Combine like terms: 140 + -140 = 0 -140 + -13y + y2 = 0 Factor a trinomial. (-7 + -1y)(20 + -1y) = 0Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7Subproblem 2
Set the factor '(20 + -1y)' equal to zero and attempt to solve: Simplifying 20 + -1y = 0 Solving 20 + -1y = 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 + -1y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 0 + -20 -1y = 0 + -20 Combine like terms: 0 + -20 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20Solution
y = {-7, 20}
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