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Simplifying (y + 7)(y + 4) = 0 Reorder the terms: (7 + y)(y + 4) = 0 Reorder the terms: (7 + y)(4 + y) = 0 Multiply (7 + y) * (4 + y) (7(4 + y) + y(4 + y)) = 0 ((4 * 7 + y * 7) + y(4 + y)) = 0 ((28 + 7y) + y(4 + y)) = 0 (28 + 7y + (4 * y + y * y)) = 0 (28 + 7y + (4y + y2)) = 0 Combine like terms: 7y + 4y = 11y (28 + 11y + y2) = 0 Solving 28 + 11y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + y)(4 + y) = 0Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-7, -4}
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