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Simplifying 28 = -86y + -6y2 Solving 28 = -86y + -6y2 Solving for variable 'y'. Reorder the terms: 28 + 86y + 6y2 = -86y + 86y + -6y2 + 6y2 Combine like terms: -86y + 86y = 0 28 + 86y + 6y2 = 0 + -6y2 + 6y2 28 + 86y + 6y2 = -6y2 + 6y2 Combine like terms: -6y2 + 6y2 = 0 28 + 86y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 43y + 3y2) = 0 Factor a trinomial. 2((14 + y)(1 + 3y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + y)' equal to zero and attempt to solve: Simplifying 14 + y = 0 Solving 14 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + y = 0 + -14 y = 0 + -14 Combine like terms: 0 + -14 = -14 y = -14 Simplifying y = -14Subproblem 2
Set the factor '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 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 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {-14, -0.3333333333}
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