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Simplifying 2y3 + 14y2 = -20y Reorder the terms: 14y2 + 2y3 = -20y Solving 14y2 + 2y3 = -20y Solving for variable 'y'. Reorder the terms: 20y + 14y2 + 2y3 = -20y + 20y Combine like terms: -20y + 20y = 0 20y + 14y2 + 2y3 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(10 + 7y + y2) = 0 Factor a trinomial. 2y((5 + y)(2 + y)) = 0 Ignore the factor 2.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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 3
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Solution
y = {0, -5, -2}
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