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Simplifying 18y2 + -16y = 0 Reorder the terms: -16y + 18y2 = 0 Solving -16y + 18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-8 + 9y) = 0 Ignore the factor 2.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 '(-8 + 9y)' equal to zero and attempt to solve: Simplifying -8 + 9y = 0 Solving -8 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9y = 0 + 8 9y = 0 + 8 Combine like terms: 0 + 8 = 8 9y = 8 Divide each side by '9'. y = 0.8888888889 Simplifying y = 0.8888888889Solution
y = {0, 0.8888888889}
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