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Simplifying 156y2 + 287y + 132 = 0 Reorder the terms: 132 + 287y + 156y2 = 0 Solving 132 + 287y + 156y2 = 0 Solving for variable 'y'. Factor a trinomial. (12 + 13y)(11 + 12y) = 0Subproblem 1
Set the factor '(12 + 13y)' equal to zero and attempt to solve: Simplifying 12 + 13y = 0 Solving 12 + 13y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 13y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 13y = 0 + -12 13y = 0 + -12 Combine like terms: 0 + -12 = -12 13y = -12 Divide each side by '13'. y = -0.9230769231 Simplifying y = -0.9230769231Subproblem 2
Set the factor '(11 + 12y)' equal to zero and attempt to solve: Simplifying 11 + 12y = 0 Solving 11 + 12y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 12y = 0 + -11 12y = 0 + -11 Combine like terms: 0 + -11 = -11 12y = -11 Divide each side by '12'. y = -0.9166666667 Simplifying y = -0.9166666667Solution
y = {-0.9230769231, -0.9166666667}
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