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Simplifying (2 + -1x)(1 + -1x) = 0 Multiply (2 + -1x) * (1 + -1x) (2(1 + -1x) + -1x * (1 + -1x)) = 0 ((1 * 2 + -1x * 2) + -1x * (1 + -1x)) = 0 ((2 + -2x) + -1x * (1 + -1x)) = 0 (2 + -2x + (1 * -1x + -1x * -1x)) = 0 (2 + -2x + (-1x + 1x2)) = 0 Combine like terms: -2x + -1x = -3x (2 + -3x + 1x2) = 0 Solving 2 + -3x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1, 2}
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