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Simplifying (x + 9)(x + 4) = 0 Reorder the terms: (9 + x)(x + 4) = 0 Reorder the terms: (9 + x)(4 + x) = 0 Multiply (9 + x) * (4 + x) (9(4 + x) + x(4 + x)) = 0 ((4 * 9 + x * 9) + x(4 + x)) = 0 ((36 + 9x) + x(4 + x)) = 0 (36 + 9x + (4 * x + x * x)) = 0 (36 + 9x + (4x + x2)) = 0 Combine like terms: 9x + 4x = 13x (36 + 13x + x2) = 0 Solving 36 + 13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(4 + 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 '(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 = {-9, -4}
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