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Simplifying 2y3 + -24y = 13y2 Reorder the terms: -24y + 2y3 = 13y2 Solving -24y + 2y3 = 13y2 Solving for variable 'y'. Reorder the terms: -24y + -13y2 + 2y3 = 13y2 + -13y2 Combine like terms: 13y2 + -13y2 = 0 -24y + -13y2 + 2y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-24 + -13y + 2y2) = 0 Factor a trinomial. y((-3 + -2y)(8 + -1y)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 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 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 3
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 = {0, -1.5, 8}
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