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Simplifying (2x + 9)(x + 1) = 0 Reorder the terms: (9 + 2x)(x + 1) = 0 Reorder the terms: (9 + 2x)(1 + x) = 0 Multiply (9 + 2x) * (1 + x) (9(1 + x) + 2x * (1 + x)) = 0 ((1 * 9 + x * 9) + 2x * (1 + x)) = 0 ((9 + 9x) + 2x * (1 + x)) = 0 (9 + 9x + (1 * 2x + x * 2x)) = 0 (9 + 9x + (2x + 2x2)) = 0 Combine like terms: 9x + 2x = 11x (9 + 11x + 2x2) = 0 Solving 9 + 11x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 2x)(1 + x) = 0Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-4.5, -1}
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