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Simplifying 0 = 15y2 + -39y + 24 Reorder the terms: 0 = 24 + -39y + 15y2 Solving 0 = 24 + -39y + 15y2 Solving for variable 'y'. Combine like terms: 0 + -24 = -24 -24 + 39y + -15y2 = 24 + -39y + 15y2 + -24 + 39y + -15y2 Reorder the terms: -24 + 39y + -15y2 = 24 + -24 + -39y + 39y + 15y2 + -15y2 Combine like terms: 24 + -24 = 0 -24 + 39y + -15y2 = 0 + -39y + 39y + 15y2 + -15y2 -24 + 39y + -15y2 = -39y + 39y + 15y2 + -15y2 Combine like terms: -39y + 39y = 0 -24 + 39y + -15y2 = 0 + 15y2 + -15y2 -24 + 39y + -15y2 = 15y2 + -15y2 Combine like terms: 15y2 + -15y2 = 0 -24 + 39y + -15y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 13y + -5y2) = 0 Factor a trinomial. 3((-8 + 5y)(1 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + 5y)' equal to zero and attempt to solve: Simplifying -8 + 5y = 0 Solving -8 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 0 + 8 5y = 0 + 8 Combine like terms: 0 + 8 = 8 5y = 8 Divide each side by '5'. y = 1.6 Simplifying y = 1.6Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {1.6, 1}
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