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Simplifying (X + 18)(X + 2) = 0 Reorder the terms: (18 + X)(X + 2) = 0 Reorder the terms: (18 + X)(2 + X) = 0 Multiply (18 + X) * (2 + X) (18(2 + X) + X(2 + X)) = 0 ((2 * 18 + X * 18) + X(2 + X)) = 0 ((36 + 18X) + X(2 + X)) = 0 (36 + 18X + (2 * X + X * X)) = 0 (36 + 18X + (2X + X2)) = 0 Combine like terms: 18X + 2X = 20X (36 + 20X + X2) = 0 Solving 36 + 20X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (18 + X)(2 + X) = 0Subproblem 1
Set the factor '(18 + X)' equal to zero and attempt to solve: Simplifying 18 + X = 0 Solving 18 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + X = 0 + -18 Combine like terms: 18 + -18 = 0 0 + X = 0 + -18 X = 0 + -18 Combine like terms: 0 + -18 = -18 X = -18 Simplifying X = -18Subproblem 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 = {-18, -2}
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