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Simplifying (5y + 4)(y + 8) = 0 Reorder the terms: (4 + 5y)(y + 8) = 0 Reorder the terms: (4 + 5y)(8 + y) = 0 Multiply (4 + 5y) * (8 + y) (4(8 + y) + 5y * (8 + y)) = 0 ((8 * 4 + y * 4) + 5y * (8 + y)) = 0 ((32 + 4y) + 5y * (8 + y)) = 0 (32 + 4y + (8 * 5y + y * 5y)) = 0 (32 + 4y + (40y + 5y2)) = 0 Combine like terms: 4y + 40y = 44y (32 + 44y + 5y2) = 0 Solving 32 + 44y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + y)(4 + 5y) = 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 '(4 + 5y)' equal to zero and attempt to solve: Simplifying 4 + 5y = 0 Solving 4 + 5y = 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 + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 0 + -4 5y = 0 + -4 Combine like terms: 0 + -4 = -4 5y = -4 Divide each side by '5'. y = -0.8 Simplifying y = -0.8Solution
y = {-8, -0.8}
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