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Simplifying 4n2 + 12nx + 9x2 = 0 Reorder the terms: 12nx + 4n2 + 9x2 = 0 Solving 12nx + 4n2 + 9x2 = 0 Solving for variable 'n'. Factor a trinomial. (2n + 3x)(2n + 3x) = 0Subproblem 1
Set the factor '(2n + 3x)' equal to zero and attempt to solve: Simplifying 2n + 3x = 0 Solving 2n + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '-3x' to each side of the equation. 2n + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 2n + 0 = 0 + -3x 2n = 0 + -3x Remove the zero: 2n = -3x Divide each side by '2'. n = -1.5x Simplifying n = -1.5xSubproblem 2
Set the factor '(2n + 3x)' equal to zero and attempt to solve: Simplifying 2n + 3x = 0 Solving 2n + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '-3x' to each side of the equation. 2n + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 2n + 0 = 0 + -3x 2n = 0 + -3x Remove the zero: 2n = -3x Divide each side by '2'. n = -1.5x Simplifying n = -1.5xSolution
n = {-1.5x, -1.5x}
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