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Simplifying (9y + 11)(6y + 29) = 0 Reorder the terms: (11 + 9y)(6y + 29) = 0 Reorder the terms: (11 + 9y)(29 + 6y) = 0 Multiply (11 + 9y) * (29 + 6y) (11(29 + 6y) + 9y * (29 + 6y)) = 0 ((29 * 11 + 6y * 11) + 9y * (29 + 6y)) = 0 ((319 + 66y) + 9y * (29 + 6y)) = 0 (319 + 66y + (29 * 9y + 6y * 9y)) = 0 (319 + 66y + (261y + 54y2)) = 0 Combine like terms: 66y + 261y = 327y (319 + 327y + 54y2) = 0 Solving 319 + 327y + 54y2 = 0 Solving for variable 'y'. Factor a trinomial. (29 + 6y)(11 + 9y) = 0Subproblem 1
Set the factor '(29 + 6y)' equal to zero and attempt to solve: Simplifying 29 + 6y = 0 Solving 29 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 6y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 6y = 0 + -29 6y = 0 + -29 Combine like terms: 0 + -29 = -29 6y = -29 Divide each side by '6'. y = -4.833333333 Simplifying y = -4.833333333Subproblem 2
Set the factor '(11 + 9y)' equal to zero and attempt to solve: Simplifying 11 + 9y = 0 Solving 11 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9y = 0 + -11 9y = 0 + -11 Combine like terms: 0 + -11 = -11 9y = -11 Divide each side by '9'. y = -1.222222222 Simplifying y = -1.222222222Solution
y = {-4.833333333, -1.222222222}
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