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Simplifying 0 = y2 + y + -12 Reorder the terms: 0 = -12 + y + y2 Solving 0 = -12 + y + y2 Solving for variable 'y'. Combine like terms: 0 + 12 = 12 12 + -1y + -1y2 = -12 + y + y2 + 12 + -1y + -1y2 Reorder the terms: 12 + -1y + -1y2 = -12 + 12 + y + -1y + y2 + -1y2 Combine like terms: -12 + 12 = 0 12 + -1y + -1y2 = 0 + y + -1y + y2 + -1y2 12 + -1y + -1y2 = y + -1y + y2 + -1y2 Combine like terms: y + -1y = 0 12 + -1y + -1y2 = 0 + y2 + -1y2 12 + -1y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 12 + -1y + -1y2 = 0 Factor a trinomial. (3 + -1y)(4 + 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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {3, -4}
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