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Simplifying (5y + 3)(4 + y) = 0 Reorder the terms: (3 + 5y)(4 + y) = 0 Multiply (3 + 5y) * (4 + y) (3(4 + y) + 5y * (4 + y)) = 0 ((4 * 3 + y * 3) + 5y * (4 + y)) = 0 ((12 + 3y) + 5y * (4 + y)) = 0 (12 + 3y + (4 * 5y + y * 5y)) = 0 (12 + 3y + (20y + 5y2)) = 0 Combine like terms: 3y + 20y = 23y (12 + 23y + 5y2) = 0 Solving 12 + 23y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + y)(3 + 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 '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6Solution
y = {-4, -0.6}
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