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Simplifying (x + 8)(x + 15) = 0 Reorder the terms: (8 + x)(x + 15) = 0 Reorder the terms: (8 + x)(15 + x) = 0 Multiply (8 + x) * (15 + x) (8(15 + x) + x(15 + x)) = 0 ((15 * 8 + x * 8) + x(15 + x)) = 0 ((120 + 8x) + x(15 + x)) = 0 (120 + 8x + (15 * x + x * x)) = 0 (120 + 8x + (15x + x2)) = 0 Combine like terms: 8x + 15x = 23x (120 + 23x + x2) = 0 Solving 120 + 23x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x)(8 + x) = 0Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 2
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 = -8Solution
x = {-15, -8}
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