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Simplifying 400x2 + 40x + 1 = 0 Reorder the terms: 1 + 40x + 400x2 = 0 Solving 1 + 40x + 400x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 20x)(1 + 20x) = 0Subproblem 1
Set the factor '(1 + 20x)' equal to zero and attempt to solve: Simplifying 1 + 20x = 0 Solving 1 + 20x = 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 + 20x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 20x = 0 + -1 20x = 0 + -1 Combine like terms: 0 + -1 = -1 20x = -1 Divide each side by '20'. x = -0.05 Simplifying x = -0.05Subproblem 2
Set the factor '(1 + 20x)' equal to zero and attempt to solve: Simplifying 1 + 20x = 0 Solving 1 + 20x = 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 + 20x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 20x = 0 + -1 20x = 0 + -1 Combine like terms: 0 + -1 = -1 20x = -1 Divide each side by '20'. x = -0.05 Simplifying x = -0.05Solution
x = {-0.05, -0.05}
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