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Simplifying (2x + 9)(x + 2) = 0 Reorder the terms: (9 + 2x)(x + 2) = 0 Reorder the terms: (9 + 2x)(2 + x) = 0 Multiply (9 + 2x) * (2 + x) (9(2 + x) + 2x * (2 + x)) = 0 ((2 * 9 + x * 9) + 2x * (2 + x)) = 0 ((18 + 9x) + 2x * (2 + x)) = 0 (18 + 9x + (2 * 2x + x * 2x)) = 0 (18 + 9x + (4x + 2x2)) = 0 Combine like terms: 9x + 4x = 13x (18 + 13x + 2x2) = 0 Solving 18 + 13x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 2x)(2 + 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 '(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 = -2Solution
x = {-4.5, -2}
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