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Simplifying -12 = 26y + 12y2 Solving -12 = 26y + 12y2 Solving for variable 'y'. Reorder the terms: -12 + -26y + -12y2 = 26y + -26y + 12y2 + -12y2 Combine like terms: 26y + -26y = 0 -12 + -26y + -12y2 = 0 + 12y2 + -12y2 -12 + -26y + -12y2 = 12y2 + -12y2 Combine like terms: 12y2 + -12y2 = 0 -12 + -26y + -12y2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(6 + 13y + 6y2) = 0 Factor a trinomial. -2((3 + 2y)(2 + 3y)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Subproblem 2
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Solution
y = {-1.5, -0.6666666667}
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