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Simplifying 6y3 + -18y2 + -3300y = 0 Reorder the terms: -3300y + -18y2 + 6y3 = 0 Solving -3300y + -18y2 + 6y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y'. 6y(-550 + -3y + y2) = 0 Factor a trinomial. 6y((-22 + -1y)(25 + -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 '(-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 = -22Subproblem 3
Set the factor '(25 + -1y)' equal to zero and attempt to solve: Simplifying 25 + -1y = 0 Solving 25 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1y = 0 + -25 -1y = 0 + -25 Combine like terms: 0 + -25 = -25 -1y = -25 Divide each side by '-1'. y = 25 Simplifying y = 25Solution
y = {0, -22, 25}
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