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Simplifying (x + 18)(x + 17) = 0 Reorder the terms: (18 + x)(x + 17) = 0 Reorder the terms: (18 + x)(17 + x) = 0 Multiply (18 + x) * (17 + x) (18(17 + x) + x(17 + x)) = 0 ((17 * 18 + x * 18) + x(17 + x)) = 0 ((306 + 18x) + x(17 + x)) = 0 (306 + 18x + (17 * x + x * x)) = 0 (306 + 18x + (17x + x2)) = 0 Combine like terms: 18x + 17x = 35x (306 + 35x + x2) = 0 Solving 306 + 35x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + x)(17 + x) = 0Subproblem 1
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 = -18Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {-18, -17}
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