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Simplifying 6y2 + 11y = y Reorder the terms: 11y + 6y2 = y Solving 11y + 6y2 = y Solving for variable 'y'. Reorder the terms: 11y + -1y + 6y2 = y + -1y Combine like terms: 11y + -1y = 10y 10y + 6y2 = y + -1y Combine like terms: y + -1y = 0 10y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(5 + 3y) = 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 '(5 + 3y)' equal to zero and attempt to solve: Simplifying 5 + 3y = 0 Solving 5 + 3y = 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 + 3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 0 + -5 3y = 0 + -5 Combine like terms: 0 + -5 = -5 3y = -5 Divide each side by '3'. y = -1.666666667 Simplifying y = -1.666666667Solution
y = {0, -1.666666667}
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