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Simplifying 6y2 + -14y + -272 = 0 Reorder the terms: -272 + -14y + 6y2 = 0 Solving -272 + -14y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-136 + -7y + 3y2) = 0 Factor a trinomial. 2((-17 + -3y)(8 + -1y)) = 0 Ignore the factor 2.Subproblem 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 '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {-5.666666667, 8}
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