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Simplifying 21y3 + -57y2 + -18y = 0 Reorder the terms: -18y + -57y2 + 21y3 = 0 Solving -18y + -57y2 + 21y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-6 + -19y + 7y2) = 0 Factor a trinomial. 3y((-2 + -7y)(3 + -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 '(-2 + -7y)' equal to zero and attempt to solve: Simplifying -2 + -7y = 0 Solving -2 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7y = 0 + 2 -7y = 0 + 2 Combine like terms: 0 + 2 = 2 -7y = 2 Divide each side by '-7'. y = -0.2857142857 Simplifying y = -0.2857142857Subproblem 3
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {0, -0.2857142857, 3}
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