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Simplifying 4y2 + 68y + 93 = 0 Reorder the terms: 93 + 68y + 4y2 = 0 Solving 93 + 68y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (31 + 2y)(3 + 2y) = 0Subproblem 1
Set the factor '(31 + 2y)' equal to zero and attempt to solve: Simplifying 31 + 2y = 0 Solving 31 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 2y = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 2y = 0 + -31 2y = 0 + -31 Combine like terms: 0 + -31 = -31 2y = -31 Divide each side by '2'. y = -15.5 Simplifying y = -15.5Subproblem 2
Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {-15.5, -1.5}
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