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Simplifying 11y2 + -5y + y = 0 Reorder the terms: -5y + y + 11y2 = 0 Combine like terms: -5y + y = -4y -4y + 11y2 = 0 Solving -4y + 11y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-4 + 11y) = 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 '(-4 + 11y)' equal to zero and attempt to solve: Simplifying -4 + 11y = 0 Solving -4 + 11y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 11y = 0 + 4 11y = 0 + 4 Combine like terms: 0 + 4 = 4 11y = 4 Divide each side by '11'. y = 0.3636363636 Simplifying y = 0.3636363636Solution
y = {0, 0.3636363636}
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