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Simplifying 3y2 + 29y + 68 = 0 Reorder the terms: 68 + 29y + 3y2 = 0 Solving 68 + 29y + 3y2 = 0 Solving for variable 'y'. Factor a trinomial. (17 + 3y)(4 + y) = 0Subproblem 1
Set the factor '(17 + 3y)' equal to zero and attempt to solve: Simplifying 17 + 3y = 0 Solving 17 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3y = 0 + -17 3y = 0 + -17 Combine like terms: 0 + -17 = -17 3y = -17 Divide each side by '3'. y = -5.666666667 Simplifying y = -5.666666667Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-5.666666667, -4}
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