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Simplifying (9X + -1)(2X + 1) = 0 Reorder the terms: (-1 + 9X)(2X + 1) = 0 Reorder the terms: (-1 + 9X)(1 + 2X) = 0 Multiply (-1 + 9X) * (1 + 2X) (-1(1 + 2X) + 9X * (1 + 2X)) = 0 ((1 * -1 + 2X * -1) + 9X * (1 + 2X)) = 0 ((-1 + -2X) + 9X * (1 + 2X)) = 0 (-1 + -2X + (1 * 9X + 2X * 9X)) = 0 (-1 + -2X + (9X + 18X2)) = 0 Combine like terms: -2X + 9X = 7X (-1 + 7X + 18X2) = 0 Solving -1 + 7X + 18X2 = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -2X)(1 + -9X) = 0Subproblem 1
Set the factor '(-1 + -2X)' equal to zero and attempt to solve: Simplifying -1 + -2X = 0 Solving -1 + -2X = 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 + -2X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2X = 0 + 1 -2X = 0 + 1 Combine like terms: 0 + 1 = 1 -2X = 1 Divide each side by '-2'. X = -0.5 Simplifying X = -0.5Subproblem 2
Set the factor '(1 + -9X)' equal to zero and attempt to solve: Simplifying 1 + -9X = 0 Solving 1 + -9X = 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 + -9X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9X = 0 + -1 -9X = 0 + -1 Combine like terms: 0 + -1 = -1 -9X = -1 Divide each side by '-9'. X = 0.1111111111 Simplifying X = 0.1111111111Solution
X = {-0.5, 0.1111111111}
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