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Simplifying (x + 2)(x + 1) = 6x Reorder the terms: (2 + x)(x + 1) = 6x Reorder the terms: (2 + x)(1 + x) = 6x Multiply (2 + x) * (1 + x) (2(1 + x) + x(1 + x)) = 6x ((1 * 2 + x * 2) + x(1 + x)) = 6x ((2 + 2x) + x(1 + x)) = 6x (2 + 2x + (1 * x + x * x)) = 6x (2 + 2x + (1x + x2)) = 6x Combine like terms: 2x + 1x = 3x (2 + 3x + x2) = 6x Solving 2 + 3x + x2 = 6x Solving for variable 'x'. Reorder the terms: 2 + 3x + -6x + x2 = 6x + -6x Combine like terms: 3x + -6x = -3x 2 + -3x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 2 + -3x + x2 = 0 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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