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