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Simplifying 6y + -11 = 4y2 + -28y + 49 Reorder the terms: -11 + 6y = 4y2 + -28y + 49 Reorder the terms: -11 + 6y = 49 + -28y + 4y2 Solving -11 + 6y = 49 + -28y + 4y2 Solving for variable 'y'. Reorder the terms: -11 + -49 + 6y + 28y + -4y2 = 49 + -28y + 4y2 + -49 + 28y + -4y2 Combine like terms: -11 + -49 = -60 -60 + 6y + 28y + -4y2 = 49 + -28y + 4y2 + -49 + 28y + -4y2 Combine like terms: 6y + 28y = 34y -60 + 34y + -4y2 = 49 + -28y + 4y2 + -49 + 28y + -4y2 Reorder the terms: -60 + 34y + -4y2 = 49 + -49 + -28y + 28y + 4y2 + -4y2 Combine like terms: 49 + -49 = 0 -60 + 34y + -4y2 = 0 + -28y + 28y + 4y2 + -4y2 -60 + 34y + -4y2 = -28y + 28y + 4y2 + -4y2 Combine like terms: -28y + 28y = 0 -60 + 34y + -4y2 = 0 + 4y2 + -4y2 -60 + 34y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -60 + 34y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + 17y + -2y2) = 0 Factor a trinomial. 2((-6 + y)(5 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {6, 2.5}
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