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Simplifying (2x + 17)(2x + 17) = 0 Reorder the terms: (17 + 2x)(2x + 17) = 0 Reorder the terms: (17 + 2x)(17 + 2x) = 0 Multiply (17 + 2x) * (17 + 2x) (17(17 + 2x) + 2x * (17 + 2x)) = 0 ((17 * 17 + 2x * 17) + 2x * (17 + 2x)) = 0 ((289 + 34x) + 2x * (17 + 2x)) = 0 (289 + 34x + (17 * 2x + 2x * 2x)) = 0 (289 + 34x + (34x + 4x2)) = 0 Combine like terms: 34x + 34x = 68x (289 + 68x + 4x2) = 0 Solving 289 + 68x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + 2x)(17 + 2x) = 0Subproblem 1
Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 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 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Subproblem 2
Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 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 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Solution
x = {-8.5, -8.5}
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