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Simplifying (x + 8)(9x + 11) = 0 Reorder the terms: (8 + x)(9x + 11) = 0 Reorder the terms: (8 + x)(11 + 9x) = 0 Multiply (8 + x) * (11 + 9x) (8(11 + 9x) + x(11 + 9x)) = 0 ((11 * 8 + 9x * 8) + x(11 + 9x)) = 0 ((88 + 72x) + x(11 + 9x)) = 0 (88 + 72x + (11 * x + 9x * x)) = 0 (88 + 72x + (11x + 9x2)) = 0 Combine like terms: 72x + 11x = 83x (88 + 83x + 9x2) = 0 Solving 88 + 83x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(11 + 9x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 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 = {-8, -1.222222222}
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