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Simplifying (x + 35)(x + 18) = 0 Reorder the terms: (35 + x)(x + 18) = 0 Reorder the terms: (35 + x)(18 + x) = 0 Multiply (35 + x) * (18 + x) (35(18 + x) + x(18 + x)) = 0 ((18 * 35 + x * 35) + x(18 + x)) = 0 ((630 + 35x) + x(18 + x)) = 0 (630 + 35x + (18 * x + x * x)) = 0 (630 + 35x + (18x + x2)) = 0 Combine like terms: 35x + 18x = 53x (630 + 53x + x2) = 0 Solving 630 + 53x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (35 + x)(18 + x) = 0Subproblem 1
Set the factor '(35 + x)' equal to zero and attempt to solve: Simplifying 35 + x = 0 Solving 35 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x = 0 + -35 x = 0 + -35 Combine like terms: 0 + -35 = -35 x = -35 Simplifying x = -35Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {-35, -18}
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