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Simplifying 2y2 + y = -11y Reorder the terms: y + 2y2 = -11y Solving y + 2y2 = -11y Solving for variable 'y'. Reorder the terms: y + 11y + 2y2 = -11y + 11y Combine like terms: y + 11y = 12y 12y + 2y2 = -11y + 11y Combine like terms: -11y + 11y = 0 12y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(6 + y) = 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 '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Solution
y = {0, -6}
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