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Simplifying (x + 6)(x + 8) = 0 Reorder the terms: (6 + x)(x + 8) = 0 Reorder the terms: (6 + x)(8 + x) = 0 Multiply (6 + x) * (8 + x) (6(8 + x) + x(8 + x)) = 0 ((8 * 6 + x * 6) + x(8 + x)) = 0 ((48 + 6x) + x(8 + x)) = 0 (48 + 6x + (8 * x + x * x)) = 0 (48 + 6x + (8x + x2)) = 0 Combine like terms: 6x + 8x = 14x (48 + 14x + x2) = 0 Solving 48 + 14x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(6 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 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 = {-8, -6}
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