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Simplifying 0 = (3x + -1)(x + 2) Reorder the terms: 0 = (-1 + 3x)(x + 2) Reorder the terms: 0 = (-1 + 3x)(2 + x) Multiply (-1 + 3x) * (2 + x) 0 = (-1(2 + x) + 3x * (2 + x)) 0 = ((2 * -1 + x * -1) + 3x * (2 + x)) 0 = ((-2 + -1x) + 3x * (2 + x)) 0 = (-2 + -1x + (2 * 3x + x * 3x)) 0 = (-2 + -1x + (6x + 3x2)) Combine like terms: -1x + 6x = 5x 0 = (-2 + 5x + 3x2) Solving 0 = -2 + 5x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 2 = 2 2 + -5x + -3x2 = -2 + 5x + 3x2 + 2 + -5x + -3x2 Reorder the terms: 2 + -5x + -3x2 = -2 + 2 + 5x + -5x + 3x2 + -3x2 Combine like terms: -2 + 2 = 0 2 + -5x + -3x2 = 0 + 5x + -5x + 3x2 + -3x2 2 + -5x + -3x2 = 5x + -5x + 3x2 + -3x2 Combine like terms: 5x + -5x = 0 2 + -5x + -3x2 = 0 + 3x2 + -3x2 2 + -5x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2 + -5x + -3x2 = 0 Factor a trinomial. (1 + -3x)(2 + x) = 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 + 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 = -2Solution
x = {0.3333333333, -2}
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