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Simplifying -3y3 + 33y2 + -84y = 0 Reorder the terms: -84y + 33y2 + -3y3 = 0 Solving -84y + 33y2 + -3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-28 + 11y + -1y2) = 0 Factor a trinomial. 3y((-7 + y)(4 + -1y)) = 0 Ignore the factor 3.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 '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7Subproblem 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, 7, 4}
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