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Simplifying (x + 6)(x + 9) = 0 Reorder the terms: (6 + x)(x + 9) = 0 Reorder the terms: (6 + x)(9 + x) = 0 Multiply (6 + x) * (9 + x) (6(9 + x) + x(9 + x)) = 0 ((9 * 6 + x * 6) + x(9 + x)) = 0 ((54 + 6x) + x(9 + x)) = 0 (54 + 6x + (9 * x + x * x)) = 0 (54 + 6x + (9x + x2)) = 0 Combine like terms: 6x + 9x = 15x (54 + 15x + x2) = 0 Solving 54 + 15x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-9, -6}
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