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Simplifying 9Y2 = 36Y + -35 Reorder the terms: 9Y2 = -35 + 36Y Solving 9Y2 = -35 + 36Y Solving for variable 'Y'. Reorder the terms: 35 + -36Y + 9Y2 = -35 + 36Y + 35 + -36Y Reorder the terms: 35 + -36Y + 9Y2 = -35 + 35 + 36Y + -36Y Combine like terms: -35 + 35 = 0 35 + -36Y + 9Y2 = 0 + 36Y + -36Y 35 + -36Y + 9Y2 = 36Y + -36Y Combine like terms: 36Y + -36Y = 0 35 + -36Y + 9Y2 = 0 Factor a trinomial. (5 + -3Y)(7 + -3Y) = 0Subproblem 1
Set the factor '(5 + -3Y)' equal to zero and attempt to solve: Simplifying 5 + -3Y = 0 Solving 5 + -3Y = 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 + -3Y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3Y = 0 + -5 -3Y = 0 + -5 Combine like terms: 0 + -5 = -5 -3Y = -5 Divide each side by '-3'. Y = 1.666666667 Simplifying Y = 1.666666667Subproblem 2
Set the factor '(7 + -3Y)' equal to zero and attempt to solve: Simplifying 7 + -3Y = 0 Solving 7 + -3Y = 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 + -3Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3Y = 0 + -7 -3Y = 0 + -7 Combine like terms: 0 + -7 = -7 -3Y = -7 Divide each side by '-3'. Y = 2.333333333 Simplifying Y = 2.333333333Solution
Y = {1.666666667, 2.333333333}
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