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Simplifying 4n + 11n = nx(n + n) Combine like terms: 4n + 11n = 15n 15n = nx(n + n) Combine like terms: n + n = 2n 15n = nx(2n) Remove parenthesis around (2n) 15n = nx * 2n Reorder the terms for easier multiplication: 15n = 2nx * n Multiply nx * n 15n = 2n2x Solving 15n = 2n2x Solving for variable 'n'. Combine like terms: 2n2x + -2n2x = 0 15n + -2n2x = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(15 + -2nx) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(15 + -2nx)' equal to zero and attempt to solve: Simplifying 15 + -2nx = 0 Solving 15 + -2nx = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2nx = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2nx = 0 + -15 -2nx = 0 + -15 Combine like terms: 0 + -15 = -15 -2nx = -15 Divide each side by '-2x'. n = 7.5x-1 Simplifying n = 7.5x-1Solution
n = {0, 7.5x-1}
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