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Simplifying (9y + 14)(2y + 19) = 0 Reorder the terms: (14 + 9y)(2y + 19) = 0 Reorder the terms: (14 + 9y)(19 + 2y) = 0 Multiply (14 + 9y) * (19 + 2y) (14(19 + 2y) + 9y * (19 + 2y)) = 0 ((19 * 14 + 2y * 14) + 9y * (19 + 2y)) = 0 ((266 + 28y) + 9y * (19 + 2y)) = 0 (266 + 28y + (19 * 9y + 2y * 9y)) = 0 (266 + 28y + (171y + 18y2)) = 0 Combine like terms: 28y + 171y = 199y (266 + 199y + 18y2) = 0 Solving 266 + 199y + 18y2 = 0 Solving for variable 'y'. Factor a trinomial. (19 + 2y)(14 + 9y) = 0Subproblem 1
Set the factor '(19 + 2y)' equal to zero and attempt to solve: Simplifying 19 + 2y = 0 Solving 19 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2y = 0 + -19 2y = 0 + -19 Combine like terms: 0 + -19 = -19 2y = -19 Divide each side by '2'. y = -9.5 Simplifying y = -9.5Subproblem 2
Set the factor '(14 + 9y)' equal to zero and attempt to solve: Simplifying 14 + 9y = 0 Solving 14 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 9y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 9y = 0 + -14 9y = 0 + -14 Combine like terms: 0 + -14 = -14 9y = -14 Divide each side by '9'. y = -1.555555556 Simplifying y = -1.555555556Solution
y = {-9.5, -1.555555556}
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