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Simplifying 24y2 + 80 = 88y Reorder the terms: 80 + 24y2 = 88y Solving 80 + 24y2 = 88y Solving for variable 'y'. Reorder the terms: 80 + -88y + 24y2 = 88y + -88y Combine like terms: 88y + -88y = 0 80 + -88y + 24y2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(10 + -11y + 3y2) = 0 Factor a trinomial. 8((5 + -3y)(2 + -1y)) = 0 Ignore the factor 8.Subproblem 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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {1.666666667, 2}
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