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Simplifying (X + 2)(X + 9) = 0 Reorder the terms: (2 + X)(X + 9) = 0 Reorder the terms: (2 + X)(9 + X) = 0 Multiply (2 + X) * (9 + X) (2(9 + X) + X(9 + X)) = 0 ((9 * 2 + X * 2) + X(9 + X)) = 0 ((18 + 2X) + X(9 + X)) = 0 (18 + 2X + (9 * X + X * X)) = 0 (18 + 2X + (9X + X2)) = 0 Combine like terms: 2X + 9X = 11X (18 + 11X + X2) = 0 Solving 18 + 11X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (9 + X)(2 + X) = 0Subproblem 1
Set the factor '(9 + X)' equal to zero and attempt to solve: Simplifying 9 + X = 0 Solving 9 + X = 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 + X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + X = 0 + -9 X = 0 + -9 Combine like terms: 0 + -9 = -9 X = -9 Simplifying X = -9Subproblem 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 = {-9, -2}
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