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Simplifying 25n2 + 10n + 1 = 0 Reorder the terms: 1 + 10n + 25n2 = 0 Solving 1 + 10n + 25n2 = 0 Solving for variable 'n'. Factor a trinomial. (1 + 5n)(1 + 5n) = 0Subproblem 1
Set the factor '(1 + 5n)' equal to zero and attempt to solve: Simplifying 1 + 5n = 0 Solving 1 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 0 + -1 5n = 0 + -1 Combine like terms: 0 + -1 = -1 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2Subproblem 2
Set the factor '(1 + 5n)' equal to zero and attempt to solve: Simplifying 1 + 5n = 0 Solving 1 + 5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5n = 0 + -1 5n = 0 + -1 Combine like terms: 0 + -1 = -1 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2Solution
n = {-0.2, -0.2}
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