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Simplifying (2x + -1)(2 + -1x) = 0 Reorder the terms: (-1 + 2x)(2 + -1x) = 0 Multiply (-1 + 2x) * (2 + -1x) (-1(2 + -1x) + 2x * (2 + -1x)) = 0 ((2 * -1 + -1x * -1) + 2x * (2 + -1x)) = 0 ((-2 + 1x) + 2x * (2 + -1x)) = 0 (-2 + 1x + (2 * 2x + -1x * 2x)) = 0 (-2 + 1x + (4x + -2x2)) = 0 Combine like terms: 1x + 4x = 5x (-2 + 5x + -2x2) = 0 Solving -2 + 5x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(1 + -2x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {2, 0.5}
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