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Simplifying 3y3 + -9y2 + -1512y = 0 Reorder the terms: -1512y + -9y2 + 3y3 = 0 Solving -1512y + -9y2 + 3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-504 + -3y + y2) = 0 Factor a trinomial. 3y((-21 + -1y)(24 + -1y)) = 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 '(-21 + -1y)' equal to zero and attempt to solve: Simplifying -21 + -1y = 0 Solving -21 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1y = 0 + 21 -1y = 0 + 21 Combine like terms: 0 + 21 = 21 -1y = 21 Divide each side by '-1'. y = -21 Simplifying y = -21Subproblem 3
Set the factor '(24 + -1y)' equal to zero and attempt to solve: Simplifying 24 + -1y = 0 Solving 24 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 0 + -24 -1y = 0 + -24 Combine like terms: 0 + -24 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24Solution
y = {0, -21, 24}
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