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Simplifying X2 + -8X + 9 = X + 1 Reorder the terms: 9 + -8X + X2 = X + 1 Reorder the terms: 9 + -8X + X2 = 1 + X Solving 9 + -8X + X2 = 1 + X Solving for variable 'X'. Reorder the terms: 9 + -1 + -8X + -1X + X2 = 1 + X + -1 + -1X Combine like terms: 9 + -1 = 8 8 + -8X + -1X + X2 = 1 + X + -1 + -1X Combine like terms: -8X + -1X = -9X 8 + -9X + X2 = 1 + X + -1 + -1X Reorder the terms: 8 + -9X + X2 = 1 + -1 + X + -1X Combine like terms: 1 + -1 = 0 8 + -9X + X2 = 0 + X + -1X 8 + -9X + X2 = X + -1X Combine like terms: X + -1X = 0 8 + -9X + X2 = 0 Factor a trinomial. (1 + -1X)(8 + -1X) = 0Subproblem 1
Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve: Simplifying 8 + -1X = 0 Solving 8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X = 0 + -8 -1X = 0 + -8 Combine like terms: 0 + -8 = -8 -1X = -8 Divide each side by '-1'. X = 8 Simplifying X = 8Solution
X = {1, 8}
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