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Simplifying 24y3 + -56y2 + -80y = 0 Reorder the terms: -80y + -56y2 + 24y3 = 0 Solving -80y + -56y2 + 24y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(-10 + -7y + 3y2) = 0 Factor a trinomial. 8y((-1 + -1y)(10 + -3y)) = 0 Ignore the factor 8.Subproblem 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 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 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 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 3
Set the factor '(10 + -3y)' equal to zero and attempt to solve: Simplifying 10 + -3y = 0 Solving 10 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 0 + -10 -3y = 0 + -10 Combine like terms: 0 + -10 = -10 -3y = -10 Divide each side by '-3'. y = 3.333333333 Simplifying y = 3.333333333Solution
y = {0, -1, 3.333333333}
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