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Simplifying 7y3 + -21y2 + -3220y = 0 Reorder the terms: -3220y + -21y2 + 7y3 = 0 Solving -3220y + -21y2 + 7y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y'. 7y(-460 + -3y + y2) = 0 Factor a trinomial. 7y((-20 + -1y)(23 + -1y)) = 0 Ignore the factor 7.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 '(-20 + -1y)' equal to zero and attempt to solve: Simplifying -20 + -1y = 0 Solving -20 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1y = 0 + 20 -1y = 0 + 20 Combine like terms: 0 + 20 = 20 -1y = 20 Divide each side by '-1'. y = -20 Simplifying y = -20Subproblem 3
Set the factor '(23 + -1y)' equal to zero and attempt to solve: Simplifying 23 + -1y = 0 Solving 23 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1y = 0 + -23 -1y = 0 + -23 Combine like terms: 0 + -23 = -23 -1y = -23 Divide each side by '-1'. y = 23 Simplifying y = 23Solution
y = {0, -20, 23}
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