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Simplifying 3x(3 + -1x) = x + -3 (3 * 3x + -1x * 3x) = x + -3 (9x + -3x2) = x + -3 Reorder the terms: 9x + -3x2 = -3 + x Solving 9x + -3x2 = -3 + x Solving for variable 'x'. Reorder the terms: 3 + 9x + -1x + -3x2 = -3 + x + 3 + -1x Combine like terms: 9x + -1x = 8x 3 + 8x + -3x2 = -3 + x + 3 + -1x Reorder the terms: 3 + 8x + -3x2 = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 3 + 8x + -3x2 = 0 + x + -1x 3 + 8x + -3x2 = x + -1x Combine like terms: x + -1x = 0 3 + 8x + -3x2 = 0 Factor a trinomial. (3 + -1x)(1 + 3x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, -0.3333333333}
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