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Simplifying (-1y3) + (6y2) + -1(9y) = 0 Remove parenthesis around (9y) (-1y3) + (6y2) + -1 * 9y = 0 Multiply -1 * 9 (-1y3) + (6y2) + -9y = 0 Reorder the terms: -9y + (6y2) + (-1y3) = 0 Solving -9y + (6y2) + (-1y3) = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-9 + (6y) + (-1y2)) = 0 Factor a trinomial. y((-3 + y)(3 + -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 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 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 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3Subproblem 3
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, 3, 3}
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