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Simplifying 15y2 + -99y + -168 = 0 Reorder the terms: -168 + -99y + 15y2 = 0 Solving -168 + -99y + 15y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-56 + -33y + 5y2) = 0 Factor a trinomial. 3((-7 + -5y)(8 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -5y)' equal to zero and attempt to solve: Simplifying -7 + -5y = 0 Solving -7 + -5y = 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 + -5y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5y = 0 + 7 -5y = 0 + 7 Combine like terms: 0 + 7 = 7 -5y = 7 Divide each side by '-5'. y = -1.4 Simplifying y = -1.4Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 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 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-1.4, 8}
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