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Simplifying 3y3 + -9y2 + -1254y = 0 Reorder the terms: -1254y + -9y2 + 3y3 = 0 Solving -1254y + -9y2 + 3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-418 + -3y + y2) = 0 Factor a trinomial. 3y((-19 + -1y)(22 + -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 '(-19 + -1y)' equal to zero and attempt to solve: Simplifying -19 + -1y = 0 Solving -19 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1y = 0 + 19 -1y = 0 + 19 Combine like terms: 0 + 19 = 19 -1y = 19 Divide each side by '-1'. y = -19 Simplifying y = -19Subproblem 3
Set the factor '(22 + -1y)' equal to zero and attempt to solve: Simplifying 22 + -1y = 0 Solving 22 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1y = 0 + -22 -1y = 0 + -22 Combine like terms: 0 + -22 = -22 -1y = -22 Divide each side by '-1'. y = 22 Simplifying y = 22Solution
y = {0, -19, 22}
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