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Simplifying (5y + 4)(2 + y) = 0 Reorder the terms: (4 + 5y)(2 + y) = 0 Multiply (4 + 5y) * (2 + y) (4(2 + y) + 5y * (2 + y)) = 0 ((2 * 4 + y * 4) + 5y * (2 + y)) = 0 ((8 + 4y) + 5y * (2 + y)) = 0 (8 + 4y + (2 * 5y + y * 5y)) = 0 (8 + 4y + (10y + 5y2)) = 0 Combine like terms: 4y + 10y = 14y (8 + 14y + 5y2) = 0 Solving 8 + 14y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + y)(4 + 5y) = 0Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2Subproblem 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 = {-2, -0.8}
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