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Simplifying 9y2 + -88y + 208 = 0 Reorder the terms: 208 + -88y + 9y2 = 0 Solving 208 + -88y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -1y)(52 + -9y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(52 + -9y)' equal to zero and attempt to solve: Simplifying 52 + -9y = 0 Solving 52 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -9y = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -9y = 0 + -52 -9y = 0 + -52 Combine like terms: 0 + -52 = -52 -9y = -52 Divide each side by '-9'. y = 5.777777778 Simplifying y = 5.777777778Solution
y = {4, 5.777777778}
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