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Simplifying (4 + y)(5y + 7) = 0 Reorder the terms: (4 + y)(7 + 5y) = 0 Multiply (4 + y) * (7 + 5y) (4(7 + 5y) + y(7 + 5y)) = 0 ((7 * 4 + 5y * 4) + y(7 + 5y)) = 0 ((28 + 20y) + y(7 + 5y)) = 0 (28 + 20y + (7 * y + 5y * y)) = 0 (28 + 20y + (7y + 5y2)) = 0 Combine like terms: 20y + 7y = 27y (28 + 27y + 5y2) = 0 Solving 28 + 27y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + y)(7 + 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 '(7 + 5y)' equal to zero and attempt to solve: Simplifying 7 + 5y = 0 Solving 7 + 5y = 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 + 5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 0 + -7 5y = 0 + -7 Combine like terms: 0 + -7 = -7 5y = -7 Divide each side by '5'. y = -1.4 Simplifying y = -1.4Solution
y = {-4, -1.4}
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