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Simplifying (y + 4)(y + -8) = 0 Reorder the terms: (4 + y)(y + -8) = 0 Reorder the terms: (4 + y)(-8 + y) = 0 Multiply (4 + y) * (-8 + y) (4(-8 + y) + y(-8 + y)) = 0 ((-8 * 4 + y * 4) + y(-8 + y)) = 0 ((-32 + 4y) + y(-8 + y)) = 0 (-32 + 4y + (-8 * y + y * y)) = 0 (-32 + 4y + (-8y + y2)) = 0 Combine like terms: 4y + -8y = -4y (-32 + -4y + y2) = 0 Solving -32 + -4y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -1y)(8 + -1y) = 0Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 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 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-4, 8}
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