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Simplifying 3y2 + 10y + -217 = 0 Reorder the terms: -217 + 10y + 3y2 = 0 Solving -217 + 10y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (-31 + -3y)(7 + -1y) = 0Subproblem 1
Set the factor '(-31 + -3y)' equal to zero and attempt to solve: Simplifying -31 + -3y = 0 Solving -31 + -3y = 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 + -3y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -3y = 0 + 31 -3y = 0 + 31 Combine like terms: 0 + 31 = 31 -3y = 31 Divide each side by '-3'. y = -10.33333333 Simplifying y = -10.33333333Subproblem 2
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 = 7Solution
y = {-10.33333333, 7}
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