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Simplifying y2 = 22y + 23 Reorder the terms: y2 = 23 + 22y Solving y2 = 23 + 22y Solving for variable 'y'. Reorder the terms: -23 + -22y + y2 = 23 + 22y + -23 + -22y Reorder the terms: -23 + -22y + y2 = 23 + -23 + 22y + -22y Combine like terms: 23 + -23 = 0 -23 + -22y + y2 = 0 + 22y + -22y -23 + -22y + y2 = 22y + -22y Combine like terms: 22y + -22y = 0 -23 + -22y + y2 = 0 Factor a trinomial. (-1 + -1y)(23 + -1y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(23 + -1y)' equal to zero and attempt to solve: Simplifying 23 + -1y = 0 Solving 23 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1y = 0 + -23 -1y = 0 + -23 Combine like terms: 0 + -23 = -23 -1y = -23 Divide each side by '-1'. y = 23 Simplifying y = 23Solution
y = {-1, 23}
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