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Simplifying 5y3 + 17y2 = 12y Reorder the terms: 17y2 + 5y3 = 12y Solving 17y2 + 5y3 = 12y Solving for variable 'y'. Reorder the terms: -12y + 17y2 + 5y3 = 12y + -12y Combine like terms: 12y + -12y = 0 -12y + 17y2 + 5y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-12 + 17y + 5y2) = 0 Factor a trinomial. y((-4 + -1y)(3 + -5y)) = 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 '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 3
Set the factor '(3 + -5y)' equal to zero and attempt to solve: Simplifying 3 + -5y = 0 Solving 3 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = 0 + -3 -5y = 0 + -3 Combine like terms: 0 + -3 = -3 -5y = -3 Divide each side by '-5'. y = 0.6 Simplifying y = 0.6Solution
y = {0, -4, 0.6}
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