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Simplifying 6y2 + -29y + 34 = 0 Reorder the terms: 34 + -29y + 6y2 = 0 Solving 34 + -29y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -1y)(17 + -6y) = 0Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(17 + -6y)' equal to zero and attempt to solve: Simplifying 17 + -6y = 0 Solving 17 + -6y = 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 + -6y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6y = 0 + -17 -6y = 0 + -17 Combine like terms: 0 + -17 = -17 -6y = -17 Divide each side by '-6'. y = 2.833333333 Simplifying y = 2.833333333Solution
y = {2, 2.833333333}
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