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Simplifying (x + -2)(1 + -3x) = 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. (-2 + x)(1 + -3x) = 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 + -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 = 0.3333333333Solution
x = {2, 0.3333333333}
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