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Simplifying 0 = y2 + 2y + -24 Reorder the terms: 0 = -24 + 2y + y2 Solving 0 = -24 + 2y + y2 Solving for variable 'y'. Combine like terms: 0 + 24 = 24 24 + -2y + -1y2 = -24 + 2y + y2 + 24 + -2y + -1y2 Reorder the terms: 24 + -2y + -1y2 = -24 + 24 + 2y + -2y + y2 + -1y2 Combine like terms: -24 + 24 = 0 24 + -2y + -1y2 = 0 + 2y + -2y + y2 + -1y2 24 + -2y + -1y2 = 2y + -2y + y2 + -1y2 Combine like terms: 2y + -2y = 0 24 + -2y + -1y2 = 0 + y2 + -1y2 24 + -2y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 24 + -2y + -1y2 = 0 Factor a trinomial. (4 + -1y)(6 + y) = 0Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Solution
y = {4, -6}
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