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Simplifying (x + 8 + x + 3)(x + 3) = 0 Reorder the terms: (8 + 3 + x + x)(x + 3) = 0 Combine like terms: 8 + 3 = 11 (11 + x + x)(x + 3) = 0 Combine like terms: x + x = 2x (11 + 2x)(x + 3) = 0 Reorder the terms: (11 + 2x)(3 + x) = 0 Multiply (11 + 2x) * (3 + x) (11(3 + x) + 2x * (3 + x)) = 0 ((3 * 11 + x * 11) + 2x * (3 + x)) = 0 ((33 + 11x) + 2x * (3 + x)) = 0 (33 + 11x + (3 * 2x + x * 2x)) = 0 (33 + 11x + (6x + 2x2)) = 0 Combine like terms: 11x + 6x = 17x (33 + 17x + 2x2) = 0 Solving 33 + 17x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + 2x)(3 + x) = 0Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 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 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-5.5, -3}
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