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Simplifying (x + 13)(x + 47) = 0 Reorder the terms: (13 + x)(x + 47) = 0 Reorder the terms: (13 + x)(47 + x) = 0 Multiply (13 + x) * (47 + x) (13(47 + x) + x(47 + x)) = 0 ((47 * 13 + x * 13) + x(47 + x)) = 0 ((611 + 13x) + x(47 + x)) = 0 (611 + 13x + (47 * x + x * x)) = 0 (611 + 13x + (47x + x2)) = 0 Combine like terms: 13x + 47x = 60x (611 + 60x + x2) = 0 Solving 611 + 60x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (47 + x)(13 + x) = 0Subproblem 1
Set the factor '(47 + x)' equal to zero and attempt to solve: Simplifying 47 + x = 0 Solving 47 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + x = 0 + -47 x = 0 + -47 Combine like terms: 0 + -47 = -47 x = -47 Simplifying x = -47Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {-47, -13}
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