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Simplifying 8y3 + -5y = 18y2 Reorder the terms: -5y + 8y3 = 18y2 Solving -5y + 8y3 = 18y2 Solving for variable 'y'. Reorder the terms: -5y + -18y2 + 8y3 = 18y2 + -18y2 Combine like terms: 18y2 + -18y2 = 0 -5y + -18y2 + 8y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-5 + -18y + 8y2) = 0 Factor a trinomial. y((-1 + -4y)(5 + -2y)) = 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 + -4y)' equal to zero and attempt to solve: Simplifying -1 + -4y = 0 Solving -1 + -4y = 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 + -4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 0 + 1 -4y = 0 + 1 Combine like terms: 0 + 1 = 1 -4y = 1 Divide each side by '-4'. y = -0.25 Simplifying y = -0.25Subproblem 3
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {0, -0.25, 2.5}
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