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Simplifying (5y + 2)(4 + y) = 0 Reorder the terms: (2 + 5y)(4 + y) = 0 Multiply (2 + 5y) * (4 + y) (2(4 + y) + 5y * (4 + y)) = 0 ((4 * 2 + y * 2) + 5y * (4 + y)) = 0 ((8 + 2y) + 5y * (4 + y)) = 0 (8 + 2y + (4 * 5y + y * 5y)) = 0 (8 + 2y + (20y + 5y2)) = 0 Combine like terms: 2y + 20y = 22y (8 + 22y + 5y2) = 0 Solving 8 + 22y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + y)(2 + 5y) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 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 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {-4, -0.4}
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