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Simplifying (8 + y)(3 + y) = 0 Multiply (8 + y) * (3 + y) (8(3 + y) + y(3 + y)) = 0 ((3 * 8 + y * 8) + y(3 + y)) = 0 ((24 + 8y) + y(3 + y)) = 0 (24 + 8y + (3 * y + y * y)) = 0 (24 + 8y + (3y + y2)) = 0 Combine like terms: 8y + 3y = 11y (24 + 11y + y2) = 0 Solving 24 + 11y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + y)(3 + y) = 0Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {-8, -3}
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