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Simplifying 2y3 + -9y = -3y2 Reorder the terms: -9y + 2y3 = -3y2 Solving -9y + 2y3 = -3y2 Solving for variable 'y'. Reorder the terms: -9y + 3y2 + 2y3 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -9y + 3y2 + 2y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-9 + 3y + 2y2) = 0 Factor a trinomial. y((-3 + -1y)(3 + -2y)) = 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 + -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 = -3Subproblem 3
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 = 1.5Solution
y = {0, -3, 1.5}
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