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Simplifying y(y + 2) + 2(y + 2) = 0 Reorder the terms: y(2 + y) + 2(y + 2) = 0 (2 * y + y * y) + 2(y + 2) = 0 (2y + y2) + 2(y + 2) = 0 Reorder the terms: 2y + y2 + 2(2 + y) = 0 2y + y2 + (2 * 2 + y * 2) = 0 2y + y2 + (4 + 2y) = 0 Reorder the terms: 4 + 2y + 2y + y2 = 0 Combine like terms: 2y + 2y = 4y 4 + 4y + y2 = 0 Solving 4 + 4y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + y)(2 + y) = 0Subproblem 1
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 Simplifying y = -2Subproblem 2
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 Simplifying y = -2Solution
y = {-2, -2}
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