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Simplifying (9x + 2)(2x + 1) = 0 Reorder the terms: (2 + 9x)(2x + 1) = 0 Reorder the terms: (2 + 9x)(1 + 2x) = 0 Multiply (2 + 9x) * (1 + 2x) (2(1 + 2x) + 9x * (1 + 2x)) = 0 ((1 * 2 + 2x * 2) + 9x * (1 + 2x)) = 0 ((2 + 4x) + 9x * (1 + 2x)) = 0 (2 + 4x + (1 * 9x + 2x * 9x)) = 0 (2 + 4x + (9x + 18x2)) = 0 Combine like terms: 4x + 9x = 13x (2 + 13x + 18x2) = 0 Solving 2 + 13x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 2x)(2 + 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 '(2 + 9x)' equal to zero and attempt to solve: Simplifying 2 + 9x = 0 Solving 2 + 9x = 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 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222Solution
x = {-0.5, -0.2222222222}
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