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Simplifying 24y2 + -123y + 15 = 0 Reorder the terms: 15 + -123y + 24y2 = 0 Solving 15 + -123y + 24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -41y + 8y2) = 0 Factor a trinomial. 3((1 + -8y)(5 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -8y)' equal to zero and attempt to solve: Simplifying 1 + -8y = 0 Solving 1 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8y = 0 + -1 -8y = 0 + -1 Combine like terms: 0 + -1 = -1 -8y = -1 Divide each side by '-8'. y = 0.125 Simplifying y = 0.125Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {0.125, 5}
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