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Simplifying 0 = y2 + -13y + 22 Reorder the terms: 0 = 22 + -13y + y2 Solving 0 = 22 + -13y + y2 Solving for variable 'y'. Combine like terms: 0 + -22 = -22 -22 + 13y + -1y2 = 22 + -13y + y2 + -22 + 13y + -1y2 Reorder the terms: -22 + 13y + -1y2 = 22 + -22 + -13y + 13y + y2 + -1y2 Combine like terms: 22 + -22 = 0 -22 + 13y + -1y2 = 0 + -13y + 13y + y2 + -1y2 -22 + 13y + -1y2 = -13y + 13y + y2 + -1y2 Combine like terms: -13y + 13y = 0 -22 + 13y + -1y2 = 0 + y2 + -1y2 -22 + 13y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -22 + 13y + -1y2 = 0 Factor a trinomial. (-11 + y)(2 + -1y) = 0Subproblem 1
Set the factor '(-11 + y)' equal to zero and attempt to solve: Simplifying -11 + y = 0 Solving -11 + y = 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 + y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + y = 0 + 11 y = 0 + 11 Combine like terms: 0 + 11 = 11 y = 11 Simplifying y = 11Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {11, 2}
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