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Simplifying 0 = y2 + -28y + 27 Reorder the terms: 0 = 27 + -28y + y2 Solving 0 = 27 + -28y + y2 Solving for variable 'y'. Combine like terms: 0 + -27 = -27 -27 + 28y + -1y2 = 27 + -28y + y2 + -27 + 28y + -1y2 Reorder the terms: -27 + 28y + -1y2 = 27 + -27 + -28y + 28y + y2 + -1y2 Combine like terms: 27 + -27 = 0 -27 + 28y + -1y2 = 0 + -28y + 28y + y2 + -1y2 -27 + 28y + -1y2 = -28y + 28y + y2 + -1y2 Combine like terms: -28y + 28y = 0 -27 + 28y + -1y2 = 0 + y2 + -1y2 -27 + 28y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -27 + 28y + -1y2 = 0 Factor a trinomial. (-27 + y)(1 + -1y) = 0Subproblem 1
Set the factor '(-27 + y)' equal to zero and attempt to solve: Simplifying -27 + y = 0 Solving -27 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + y = 0 + 27 y = 0 + 27 Combine like terms: 0 + 27 = 27 y = 27 Simplifying y = 27Subproblem 2
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 = 1Solution
y = {27, 1}
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