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Simplifying 2y3 = 9y2 + -4y Reorder the terms: 2y3 = -4y + 9y2 Solving 2y3 = -4y + 9y2 Solving for variable 'y'. Reorder the terms: 4y + -9y2 + 2y3 = -4y + 9y2 + 4y + -9y2 Reorder the terms: 4y + -9y2 + 2y3 = -4y + 4y + 9y2 + -9y2 Combine like terms: -4y + 4y = 0 4y + -9y2 + 2y3 = 0 + 9y2 + -9y2 4y + -9y2 + 2y3 = 9y2 + -9y2 Combine like terms: 9y2 + -9y2 = 0 4y + -9y2 + 2y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(4 + -9y + 2y2) = 0 Factor a trinomial. y((1 + -2y)(4 + -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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Subproblem 3
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {0, 0.5, 4}
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