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Simplifying (2x + 19)(2x + 19) = 0 Reorder the terms: (19 + 2x)(2x + 19) = 0 Reorder the terms: (19 + 2x)(19 + 2x) = 0 Multiply (19 + 2x) * (19 + 2x) (19(19 + 2x) + 2x * (19 + 2x)) = 0 ((19 * 19 + 2x * 19) + 2x * (19 + 2x)) = 0 ((361 + 38x) + 2x * (19 + 2x)) = 0 (361 + 38x + (19 * 2x + 2x * 2x)) = 0 (361 + 38x + (38x + 4x2)) = 0 Combine like terms: 38x + 38x = 76x (361 + 76x + 4x2) = 0 Solving 361 + 76x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + 2x)(19 + 2x) = 0Subproblem 1
Set the factor '(19 + 2x)' equal to zero and attempt to solve: Simplifying 19 + 2x = 0 Solving 19 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5Subproblem 2
Set the factor '(19 + 2x)' equal to zero and attempt to solve: Simplifying 19 + 2x = 0 Solving 19 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5Solution
x = {-9.5, -9.5}
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