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Simplifying 4y8 + 36y7 + 81y6 = 0 Reorder the terms: 81y6 + 36y7 + 4y8 = 0 Solving 81y6 + 36y7 + 4y8 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y6'. y6(81 + 36y + 4y2) = 0 Factor a trinomial. y6((9 + 2y)(9 + 2y)) = 0Subproblem 1
Set the factor 'y6' equal to zero and attempt to solve: Simplifying y6 = 0 Solving y6 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + 2y)' equal to zero and attempt to solve: Simplifying 9 + 2y = 0 Solving 9 + 2y = 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 + 2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 0 + -9 2y = 0 + -9 Combine like terms: 0 + -9 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5Subproblem 3
Set the factor '(9 + 2y)' equal to zero and attempt to solve: Simplifying 9 + 2y = 0 Solving 9 + 2y = 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 + 2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 0 + -9 2y = 0 + -9 Combine like terms: 0 + -9 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5Solution
y = {-4.5, -4.5}
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