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Simplifying (x + 6)(x + 3) = 0 Reorder the terms: (6 + x)(x + 3) = 0 Reorder the terms: (6 + x)(3 + x) = 0 Multiply (6 + x) * (3 + x) (6(3 + x) + x(3 + x)) = 0 ((3 * 6 + x * 6) + x(3 + x)) = 0 ((18 + 6x) + x(3 + x)) = 0 (18 + 6x + (3 * x + x * x)) = 0 (18 + 6x + (3x + x2)) = 0 Combine like terms: 6x + 3x = 9x (18 + 9x + x2) = 0 Solving 18 + 9x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(3 + x) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-6, -3}
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