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Simplifying 14y3 + -18y2 + -20y = 0 Reorder the terms: -20y + -18y2 + 14y3 = 0 Solving -20y + -18y2 + 14y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-10 + -9y + 7y2) = 0 Factor a trinomial. 2y((-5 + -7y)(2 + -1y)) = 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 + -7y)' equal to zero and attempt to solve: Simplifying -5 + -7y = 0 Solving -5 + -7y = 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 + -7y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7y = 0 + 5 -7y = 0 + 5 Combine like terms: 0 + 5 = 5 -7y = 5 Divide each side by '-7'. y = -0.7142857143 Simplifying y = -0.7142857143Subproblem 3
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {0, -0.7142857143, 2}
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