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Simplifying (x + 2)(9x + 11) = 0 Reorder the terms: (2 + x)(9x + 11) = 0 Reorder the terms: (2 + x)(11 + 9x) = 0 Multiply (2 + x) * (11 + 9x) (2(11 + 9x) + x(11 + 9x)) = 0 ((11 * 2 + 9x * 2) + x(11 + 9x)) = 0 ((22 + 18x) + x(11 + 9x)) = 0 (22 + 18x + (11 * x + 9x * x)) = 0 (22 + 18x + (11x + 9x2)) = 0 Combine like terms: 18x + 11x = 29x (22 + 29x + 9x2) = 0 Solving 22 + 29x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(11 + 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 '(11 + 9x)' equal to zero and attempt to solve: Simplifying 11 + 9x = 0 Solving 11 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 0 + -11 9x = 0 + -11 Combine like terms: 0 + -11 = -11 9x = -11 Divide each side by '9'. x = -1.222222222 Simplifying x = -1.222222222Solution
x = {-2, -1.222222222}
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