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Simplifying (x + 17)(2x + 1) = 0 Reorder the terms: (17 + x)(2x + 1) = 0 Reorder the terms: (17 + x)(1 + 2x) = 0 Multiply (17 + x) * (1 + 2x) (17(1 + 2x) + x(1 + 2x)) = 0 ((1 * 17 + 2x * 17) + x(1 + 2x)) = 0 ((17 + 34x) + x(1 + 2x)) = 0 (17 + 34x + (1 * x + 2x * x)) = 0 (17 + 34x + (1x + 2x2)) = 0 Combine like terms: 34x + 1x = 35x (17 + 35x + 2x2) = 0 Solving 17 + 35x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + x)(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-17, -0.5}
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