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Simplifying 25n2 = 10n + -1 Reorder the terms: 25n2 = -1 + 10n Solving 25n2 = -1 + 10n Solving for variable 'n'. Reorder the terms: 1 + -10n + 25n2 = -1 + 10n + 1 + -10n Reorder the terms: 1 + -10n + 25n2 = -1 + 1 + 10n + -10n Combine like terms: -1 + 1 = 0 1 + -10n + 25n2 = 0 + 10n + -10n 1 + -10n + 25n2 = 10n + -10n Combine like terms: 10n + -10n = 0 1 + -10n + 25n2 = 0 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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