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Simplifying (7y + 20)(2y + 13) = 0 Reorder the terms: (20 + 7y)(2y + 13) = 0 Reorder the terms: (20 + 7y)(13 + 2y) = 0 Multiply (20 + 7y) * (13 + 2y) (20(13 + 2y) + 7y * (13 + 2y)) = 0 ((13 * 20 + 2y * 20) + 7y * (13 + 2y)) = 0 ((260 + 40y) + 7y * (13 + 2y)) = 0 (260 + 40y + (13 * 7y + 2y * 7y)) = 0 (260 + 40y + (91y + 14y2)) = 0 Combine like terms: 40y + 91y = 131y (260 + 131y + 14y2) = 0 Solving 260 + 131y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (13 + 2y)(20 + 7y) = 0Subproblem 1
Set the factor '(13 + 2y)' equal to zero and attempt to solve: Simplifying 13 + 2y = 0 Solving 13 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2y = 0 + -13 2y = 0 + -13 Combine like terms: 0 + -13 = -13 2y = -13 Divide each side by '2'. y = -6.5 Simplifying y = -6.5Subproblem 2
Set the factor '(20 + 7y)' equal to zero and attempt to solve: Simplifying 20 + 7y = 0 Solving 20 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7y = 0 + -20 7y = 0 + -20 Combine like terms: 0 + -20 = -20 7y = -20 Divide each side by '7'. y = -2.857142857 Simplifying y = -2.857142857Solution
y = {-6.5, -2.857142857}
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