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Simplifying 3x(3x + -2) = -1 Reorder the terms: 3x(-2 + 3x) = -1 (-2 * 3x + 3x * 3x) = -1 (-6x + 9x2) = -1 Solving -6x + 9x2 = -1 Solving for variable 'x'. Reorder the terms: 1 + -6x + 9x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -6x + 9x2 = 0 Factor a trinomial. (1 + -3x)(1 + -3x) = 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 '(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 = {0.3333333333, 0.3333333333}
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