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Simplifying 7y3 + 9y2 + 2y = 0 Reorder the terms: 2y + 9y2 + 7y3 = 0 Solving 2y + 9y2 + 7y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(2 + 9y + 7y2) = 0 Factor a trinomial. y((1 + y)(2 + 7y)) = 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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 3
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 = -0.2857142857Solution
y = {0, -1, -0.2857142857}
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