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Simplifying 28y2 + 32y + 9 = 0 Reorder the terms: 9 + 32y + 28y2 = 0 Solving 9 + 32y + 28y2 = 0 Solving for variable 'y'. Factor a trinomial. (9 + 14y)(1 + 2y) = 0Subproblem 1
Set the factor '(9 + 14y)' equal to zero and attempt to solve: Simplifying 9 + 14y = 0 Solving 9 + 14y = 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 + 14y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14y = 0 + -9 14y = 0 + -9 Combine like terms: 0 + -9 = -9 14y = -9 Divide each side by '14'. y = -0.6428571429 Simplifying y = -0.6428571429Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {-0.6428571429, -0.5}
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