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Simplifying X2 + -8X + 16 = X + -4 Reorder the terms: 16 + -8X + X2 = X + -4 Reorder the terms: 16 + -8X + X2 = -4 + X Solving 16 + -8X + X2 = -4 + X Solving for variable 'X'. Reorder the terms: 16 + 4 + -8X + -1X + X2 = -4 + X + 4 + -1X Combine like terms: 16 + 4 = 20 20 + -8X + -1X + X2 = -4 + X + 4 + -1X Combine like terms: -8X + -1X = -9X 20 + -9X + X2 = -4 + X + 4 + -1X Reorder the terms: 20 + -9X + X2 = -4 + 4 + X + -1X Combine like terms: -4 + 4 = 0 20 + -9X + X2 = 0 + X + -1X 20 + -9X + X2 = X + -1X Combine like terms: X + -1X = 0 20 + -9X + X2 = 0 Factor a trinomial. (4 + -1X)(5 + -1X) = 0Subproblem 1
Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {4, 5}
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