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Simplifying 14y2 + 37y + 5 = 0 Reorder the terms: 5 + 37y + 14y2 = 0 Solving 5 + 37y + 14y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + 2y)(1 + 7y) = 0Subproblem 1
Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Subproblem 2
Set the factor '(1 + 7y)' equal to zero and attempt to solve: Simplifying 1 + 7y = 0 Solving 1 + 7y = 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 + 7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 0 + -1 7y = 0 + -1 Combine like terms: 0 + -1 = -1 7y = -1 Divide each side by '7'. y = -0.1428571429 Simplifying y = -0.1428571429Solution
y = {-2.5, -0.1428571429}
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