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Simplifying (x + 5)(x + 17) = 0 Reorder the terms: (5 + x)(x + 17) = 0 Reorder the terms: (5 + x)(17 + x) = 0 Multiply (5 + x) * (17 + x) (5(17 + x) + x(17 + x)) = 0 ((17 * 5 + x * 5) + x(17 + x)) = 0 ((85 + 5x) + x(17 + x)) = 0 (85 + 5x + (17 * x + x * x)) = 0 (85 + 5x + (17x + x2)) = 0 Combine like terms: 5x + 17x = 22x (85 + 22x + x2) = 0 Solving 85 + 22x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + x)(5 + x) = 0Subproblem 1
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 = -17Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-17, -5}
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