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Simplifying 11y2 + -217y + 980 = 0 Reorder the terms: 980 + -217y + 11y2 = 0 Solving 980 + -217y + 11y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -1y)(140 + -11y) = 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 '(140 + -11y)' equal to zero and attempt to solve: Simplifying 140 + -11y = 0 Solving 140 + -11y = 0 Move all terms containing y to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -11y = 0 + -140 Combine like terms: 140 + -140 = 0 0 + -11y = 0 + -140 -11y = 0 + -140 Combine like terms: 0 + -140 = -140 -11y = -140 Divide each side by '-11'. y = 12.72727273 Simplifying y = 12.72727273Solution
y = {7, 12.72727273}
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