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Simplifying Y(y + 2)(y + 5) = 0 Reorder the terms: Y(2 + y)(y + 5) = 0 Reorder the terms: Y(2 + y)(5 + y) = 0 Multiply (2 + y) * (5 + y) Y(2(5 + y) + y(5 + y)) = 0 Y((5 * 2 + y * 2) + y(5 + y)) = 0 Y((10 + 2y) + y(5 + y)) = 0 Y(10 + 2y + (5 * y + y * y)) = 0 Y(10 + 2y + (5y + y2)) = 0 Combine like terms: 2y + 5y = 7y Y(10 + 7y + y2) = 0 (10 * Y + 7y * Y + y2 * Y) = 0 (10Y + 7yY + y2Y) = 0 Solving 10Y + 7yY + y2Y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'Y'. Y(10 + 7y + y2) = 0 Factor a trinomial. Y((5 + y)(2 + 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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Add '-1y' to each side of the equation. y + -1y = -5 + -1y Combine like terms: y + -1y = 0 0 = -5 + -1y Simplifying 0 = -5 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Add '-1y' to each side of the equation. y + -1y = -2 + -1y Combine like terms: y + -1y = 0 0 = -2 + -1y Simplifying 0 = -2 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
Y = {0}
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