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Simplifying 12y2 + 21 + 32y = 0 Reorder the terms: 21 + 32y + 12y2 = 0 Solving 21 + 32y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + 2y)(7 + 6y) = 0Subproblem 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 '(7 + 6y)' equal to zero and attempt to solve: Simplifying 7 + 6y = 0 Solving 7 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 0 + -7 6y = 0 + -7 Combine like terms: 0 + -7 = -7 6y = -7 Divide each side by '6'. y = -1.166666667 Simplifying y = -1.166666667Solution
y = {-1.5, -1.166666667}
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