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Simplifying (5y + 7)(5 + -1y) = 0 Reorder the terms: (7 + 5y)(5 + -1y) = 0 Multiply (7 + 5y) * (5 + -1y) (7(5 + -1y) + 5y * (5 + -1y)) = 0 ((5 * 7 + -1y * 7) + 5y * (5 + -1y)) = 0 ((35 + -7y) + 5y * (5 + -1y)) = 0 (35 + -7y + (5 * 5y + -1y * 5y)) = 0 (35 + -7y + (25y + -5y2)) = 0 Combine like terms: -7y + 25y = 18y (35 + 18y + -5y2) = 0 Solving 35 + 18y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -1y)(7 + 5y) = 0Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Subproblem 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 = {5, -1.4}
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