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Simplifying 9X2 + -6X + 1 = 0 Reorder the terms: 1 + -6X + 9X2 = 0 Solving 1 + -6X + 9X2 = 0 Solving for variable 'X'. 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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