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Simplifying 18y3 + -57y2 = -35y Reorder the terms: -57y2 + 18y3 = -35y Solving -57y2 + 18y3 = -35y Solving for variable 'y'. Reorder the terms: 35y + -57y2 + 18y3 = -35y + 35y Combine like terms: -35y + 35y = 0 35y + -57y2 + 18y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(35 + -57y + 18y2) = 0 Factor a trinomial. y((5 + -6y)(7 + -3y)) = 0Subproblem 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 '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Subproblem 3
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {0, 0.8333333333, 2.333333333}
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