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Simplifying y4 + 17y3 + -18y2 = 0 Reorder the terms: -18y2 + 17y3 + y4 = 0 Solving -18y2 + 17y3 + y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-18 + 17y + y2) = 0 Factor a trinomial. y2((-18 + -1y)(1 + -1y)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-18 + -1y)' equal to zero and attempt to solve: Simplifying -18 + -1y = 0 Solving -18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1y = 0 + 18 -1y = 0 + 18 Combine like terms: 0 + 18 = 18 -1y = 18 Divide each side by '-1'. y = -18 Simplifying y = -18Subproblem 3
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 = 1Solution
y = {0, -18, 1}
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