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Simplifying (5y + 3)(7 + y) = 0 Reorder the terms: (3 + 5y)(7 + y) = 0 Multiply (3 + 5y) * (7 + y) (3(7 + y) + 5y * (7 + y)) = 0 ((7 * 3 + y * 3) + 5y * (7 + y)) = 0 ((21 + 3y) + 5y * (7 + y)) = 0 (21 + 3y + (7 * 5y + y * 5y)) = 0 (21 + 3y + (35y + 5y2)) = 0 Combine like terms: 3y + 35y = 38y (21 + 38y + 5y2) = 0 Solving 21 + 38y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + y)(3 + 5y) = 0Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 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 = {-7, -0.6}
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