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Simplifying (x + -2)(3x + -1) = 0 Reorder the terms: (-2 + x)(3x + -1) = 0 Reorder the terms: (-2 + x)(-1 + 3x) = 0 Multiply (-2 + x) * (-1 + 3x) (-2(-1 + 3x) + x(-1 + 3x)) = 0 ((-1 * -2 + 3x * -2) + x(-1 + 3x)) = 0 ((2 + -6x) + x(-1 + 3x)) = 0 (2 + -6x + (-1 * x + 3x * x)) = 0 (2 + -6x + (-1x + 3x2)) = 0 Combine like terms: -6x + -1x = -7x (2 + -7x + 3x2) = 0 Solving 2 + -7x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 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 = {0.3333333333, 2}
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