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Simplifying (5 + X)(X + 4) = 0 Reorder the terms: (5 + X)(4 + X) = 0 Multiply (5 + X) * (4 + X) (5(4 + X) + X(4 + X)) = 0 ((4 * 5 + X * 5) + X(4 + X)) = 0 ((20 + 5X) + X(4 + X)) = 0 (20 + 5X + (4 * X + X * X)) = 0 (20 + 5X + (4X + X2)) = 0 Combine like terms: 5X + 4X = 9X (20 + 9X + X2) = 0 Solving 20 + 9X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (5 + X)(4 + X) = 0Subproblem 1
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 2
Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Solution
X = {-5, -4}
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