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Simplifying 1n(x + 2) + 1nx = 1n(x + 20) Reorder the terms: 1n(2 + x) + 1nx = 1n(x + 20) (2 * 1n + x * 1n) + 1nx = 1n(x + 20) (2n + 1nx) + 1nx = 1n(x + 20) Combine like terms: 1nx + 1nx = 2nx 2n + 2nx = 1n(x + 20) Reorder the terms: 2n + 2nx = 1n(20 + x) 2n + 2nx = (20 * 1n + x * 1n) 2n + 2nx = (20n + 1nx) Solving 2n + 2nx = 20n + 1nx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 2n + -20n + 2nx = 20n + -20n + 1nx Combine like terms: 2n + -20n = -18n -18n + 2nx = 20n + -20n + 1nx Combine like terms: 20n + -20n = 0 -18n + 2nx = 0 + 1nx -18n + 2nx = 1nx Add '-1nx' to each side of the equation. -18n + 2nx + -1nx = 1nx + -1nx Combine like terms: 2nx + -1nx = 1nx -18n + 1nx = 1nx + -1nx Combine like terms: 1nx + -1nx = 0 -18n + 1nx = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-18 + x) = 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 '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Add '-1x' to each side of the equation. x + -1x = 18 + -1x Combine like terms: x + -1x = 0 0 = 18 + -1x Simplifying 0 = 18 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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