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Simplifying (7y + 3)(2y + 9) = 0 Reorder the terms: (3 + 7y)(2y + 9) = 0 Reorder the terms: (3 + 7y)(9 + 2y) = 0 Multiply (3 + 7y) * (9 + 2y) (3(9 + 2y) + 7y * (9 + 2y)) = 0 ((9 * 3 + 2y * 3) + 7y * (9 + 2y)) = 0 ((27 + 6y) + 7y * (9 + 2y)) = 0 (27 + 6y + (9 * 7y + 2y * 7y)) = 0 (27 + 6y + (63y + 14y2)) = 0 Combine like terms: 6y + 63y = 69y (27 + 69y + 14y2) = 0 Solving 27 + 69y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + 2y)(3 + 7y) = 0Subproblem 1
Set the factor '(9 + 2y)' equal to zero and attempt to solve: Simplifying 9 + 2y = 0 Solving 9 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 0 + -9 2y = 0 + -9 Combine like terms: 0 + -9 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5Subproblem 2
Set the factor '(3 + 7y)' equal to zero and attempt to solve: Simplifying 3 + 7y = 0 Solving 3 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 0 + -3 7y = 0 + -3 Combine like terms: 0 + -3 = -3 7y = -3 Divide each side by '7'. y = -0.4285714286 Simplifying y = -0.4285714286Solution
y = {-4.5, -0.4285714286}
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