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Simplifying 6y2 + -26y = -24 Reorder the terms: -26y + 6y2 = -24 Solving -26y + 6y2 = -24 Solving for variable 'y'. Reorder the terms: 24 + -26y + 6y2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -26y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -13y + 3y2) = 0 Factor a trinomial. 2((4 + -3y)(3 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 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 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {1.333333333, 3}
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