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Simplifying (5y + 2)(7 + -1y) = 0 Reorder the terms: (2 + 5y)(7 + -1y) = 0 Multiply (2 + 5y) * (7 + -1y) (2(7 + -1y) + 5y * (7 + -1y)) = 0 ((7 * 2 + -1y * 2) + 5y * (7 + -1y)) = 0 ((14 + -2y) + 5y * (7 + -1y)) = 0 (14 + -2y + (7 * 5y + -1y * 5y)) = 0 (14 + -2y + (35y + -5y2)) = 0 Combine like terms: -2y + 35y = 33y (14 + 33y + -5y2) = 0 Solving 14 + 33y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -1y)(2 + 5y) = 0Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 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 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {7, -0.4}
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