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Simplifying 16x2 + 8nx + n2 = 0 Reorder the terms: 8nx + n2 + 16x2 = 0 Solving 8nx + n2 + 16x2 = 0 Solving for variable 'n'. Factor a trinomial. (n + 4x)(n + 4x) = 0Subproblem 1
Set the factor '(n + 4x)' equal to zero and attempt to solve: Simplifying n + 4x = 0 Solving n + 4x = 0 Move all terms containing n to the left, all other terms to the right. Add '-4x' to each side of the equation. n + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 n + 0 = 0 + -4x n = 0 + -4x Remove the zero: n = -4x Simplifying n = -4xSubproblem 2
Set the factor '(n + 4x)' equal to zero and attempt to solve: Simplifying n + 4x = 0 Solving n + 4x = 0 Move all terms containing n to the left, all other terms to the right. Add '-4x' to each side of the equation. n + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 n + 0 = 0 + -4x n = 0 + -4x Remove the zero: n = -4x Simplifying n = -4xSolution
n = {-4x, -4x}
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