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Simplifying (9x + 2)(x + 2) = 0 Reorder the terms: (2 + 9x)(x + 2) = 0 Reorder the terms: (2 + 9x)(2 + x) = 0 Multiply (2 + 9x) * (2 + x) (2(2 + x) + 9x * (2 + x)) = 0 ((2 * 2 + x * 2) + 9x * (2 + x)) = 0 ((4 + 2x) + 9x * (2 + x)) = 0 (4 + 2x + (2 * 9x + x * 9x)) = 0 (4 + 2x + (18x + 9x2)) = 0 Combine like terms: 2x + 18x = 20x (4 + 20x + 9x2) = 0 Solving 4 + 20x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(2 + 9x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -0.2222222222}
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