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Simplifying 7y3 + -62y2 + -9y = 0 Reorder the terms: -9y + -62y2 + 7y3 = 0 Solving -9y + -62y2 + 7y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-9 + -62y + 7y2) = 0 Factor a trinomial. y((-1 + -7y)(9 + -1y)) = 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 + -7y)' equal to zero and attempt to solve: Simplifying -1 + -7y = 0 Solving -1 + -7y = 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 + -7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7y = 0 + 1 -7y = 0 + 1 Combine like terms: 0 + 1 = 1 -7y = 1 Divide each side by '-7'. y = -0.1428571429 Simplifying y = -0.1428571429Subproblem 3
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {0, -0.1428571429, 9}
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