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Simplifying 7y3 + 13y2 + -2y = 0 Reorder the terms: -2y + 13y2 + 7y3 = 0 Solving -2y + 13y2 + 7y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-2 + 13y + 7y2) = 0 Factor a trinomial. y((-2 + -1y)(1 + -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 '(-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 = -2Subproblem 3
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 = 0.1428571429Solution
y = {0, -2, 0.1428571429}
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