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Simplifying 30y2 + -82y + -24 = 0 Reorder the terms: -24 + -82y + 30y2 = 0 Solving -24 + -82y + 30y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -41y + 15y2) = 0 Factor a trinomial. 2((-4 + -15y)(3 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -15y)' equal to zero and attempt to solve: Simplifying -4 + -15y = 0 Solving -4 + -15y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -15y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -15y = 0 + 4 -15y = 0 + 4 Combine like terms: 0 + 4 = 4 -15y = 4 Divide each side by '-15'. y = -0.2666666667 Simplifying y = -0.2666666667Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-0.2666666667, 3}
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