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Simplifying (12 + y)(3 + -1y) = 0 Multiply (12 + y) * (3 + -1y) (12(3 + -1y) + y(3 + -1y)) = 0 ((3 * 12 + -1y * 12) + y(3 + -1y)) = 0 ((36 + -12y) + y(3 + -1y)) = 0 (36 + -12y + (3 * y + -1y * y)) = 0 (36 + -12y + (3y + -1y2)) = 0 Combine like terms: -12y + 3y = -9y (36 + -9y + -1y2) = 0 Solving 36 + -9y + -1y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -1y)(12 + y) = 0Subproblem 1
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 = 3Subproblem 2
Set the factor '(12 + y)' equal to zero and attempt to solve: Simplifying 12 + y = 0 Solving 12 + y = 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 + y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + y = 0 + -12 y = 0 + -12 Combine like terms: 0 + -12 = -12 y = -12 Simplifying y = -12Solution
y = {3, -12}
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