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Simplifying 12y = 3y3 + 9y2 Reorder the terms: 12y = 9y2 + 3y3 Solving 12y = 9y2 + 3y3 Solving for variable 'y'. Reorder the terms: 12y + -9y2 + -3y3 = 9y2 + -9y2 + 3y3 + -3y3 Combine like terms: 9y2 + -9y2 = 0 12y + -9y2 + -3y3 = 0 + 3y3 + -3y3 12y + -9y2 + -3y3 = 3y3 + -3y3 Combine like terms: 3y3 + -3y3 = 0 12y + -9y2 + -3y3 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(4 + -3y + -1y2) = 0 Factor a trinomial. 3y((1 + -1y)(4 + y)) = 0 Ignore the factor 3.Subproblem 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 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 3
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {0, 1, -4}
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