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Simplifying 8y4 + -25y3 + 18y2 = 0 Reorder the terms: 18y2 + -25y3 + 8y4 = 0 Solving 18y2 + -25y3 + 8y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(18 + -25y + 8y2) = 0 Factor a trinomial. y2((9 + -8y)(2 + -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 '(9 + -8y)' equal to zero and attempt to solve: Simplifying 9 + -8y = 0 Solving 9 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 0 + -9 -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125Subproblem 3
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {0, 1.125, 2}
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