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Simplifying 3y3 + -11y2 = 3y2 + 24y Reorder the terms: -11y2 + 3y3 = 3y2 + 24y Reorder the terms: -11y2 + 3y3 = 24y + 3y2 Solving -11y2 + 3y3 = 24y + 3y2 Solving for variable 'y'. Reorder the terms: -24y + -11y2 + -3y2 + 3y3 = 24y + 3y2 + -24y + -3y2 Combine like terms: -11y2 + -3y2 = -14y2 -24y + -14y2 + 3y3 = 24y + 3y2 + -24y + -3y2 Reorder the terms: -24y + -14y2 + 3y3 = 24y + -24y + 3y2 + -3y2 Combine like terms: 24y + -24y = 0 -24y + -14y2 + 3y3 = 0 + 3y2 + -3y2 -24y + -14y2 + 3y3 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -24y + -14y2 + 3y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-24 + -14y + 3y2) = 0 Factor a trinomial. y((-4 + -3y)(6 + -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 '(-4 + -3y)' equal to zero and attempt to solve: Simplifying -4 + -3y = 0 Solving -4 + -3y = 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 + -3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 0 + 4 -3y = 0 + 4 Combine like terms: 0 + 4 = 4 -3y = 4 Divide each side by '-3'. y = -1.333333333 Simplifying y = -1.333333333Subproblem 3
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {0, -1.333333333, 6}
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