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Simplifying 6y3 + -19y2 = 4y2 + 4y Reorder the terms: -19y2 + 6y3 = 4y2 + 4y Reorder the terms: -19y2 + 6y3 = 4y + 4y2 Solving -19y2 + 6y3 = 4y + 4y2 Solving for variable 'y'. Reorder the terms: -4y + -19y2 + -4y2 + 6y3 = 4y + 4y2 + -4y + -4y2 Combine like terms: -19y2 + -4y2 = -23y2 -4y + -23y2 + 6y3 = 4y + 4y2 + -4y + -4y2 Reorder the terms: -4y + -23y2 + 6y3 = 4y + -4y + 4y2 + -4y2 Combine like terms: 4y + -4y = 0 -4y + -23y2 + 6y3 = 0 + 4y2 + -4y2 -4y + -23y2 + 6y3 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -4y + -23y2 + 6y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-4 + -23y + 6y2) = 0 Factor a trinomial. y((-1 + -6y)(4 + -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 + -6y)' equal to zero and attempt to solve: Simplifying -1 + -6y = 0 Solving -1 + -6y = 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 + -6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6y = 0 + 1 -6y = 0 + 1 Combine like terms: 0 + 1 = 1 -6y = 1 Divide each side by '-6'. y = -0.1666666667 Simplifying y = -0.1666666667Subproblem 3
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 = 4Solution
y = {0, -0.1666666667, 4}
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