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Simplifying 6y3 + -18y2 + -2268y = 0 Reorder the terms: -2268y + -18y2 + 6y3 = 0 Solving -2268y + -18y2 + 6y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y'. 6y(-378 + -3y + y2) = 0 Factor a trinomial. 6y((-18 + -1y)(21 + -1y)) = 0 Ignore the factor 6.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 '(-18 + -1y)' equal to zero and attempt to solve: Simplifying -18 + -1y = 0 Solving -18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1y = 0 + 18 -1y = 0 + 18 Combine like terms: 0 + 18 = 18 -1y = 18 Divide each side by '-1'. y = -18 Simplifying y = -18Subproblem 3
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 = 21Solution
y = {0, -18, 21}
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