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Simplifying y(y + 11)(y + -11) = 0 Reorder the terms: y(11 + y)(y + -11) = 0 Reorder the terms: y(11 + y)(-11 + y) = 0 Multiply (11 + y) * (-11 + y) y(11(-11 + y) + y(-11 + y)) = 0 y((-11 * 11 + y * 11) + y(-11 + y)) = 0 y((-121 + 11y) + y(-11 + y)) = 0 y(-121 + 11y + (-11 * y + y * y)) = 0 y(-121 + 11y + (-11y + y2)) = 0 Combine like terms: 11y + -11y = 0 y(-121 + 0 + y2) = 0 y(-121 + y2) = 0 (-121 * y + y2 * y) = 0 (-121y + y3) = 0 Solving -121y + y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-121 + y2) = 0 Factor a difference between two squares. y((11 + 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 = -11Subproblem 3
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, 11}
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