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Simplifying 2nx = sin(x + 60) Reorder the terms: 2nx = ins(60 + x) 2nx = (60 * ins + x * ins) 2nx = (60ins + insx) Solving 2nx = 60ins + insx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60ins' to each side of the equation. -60ins + 2nx = 60ins + -60ins + insx Combine like terms: 60ins + -60ins = 0 -60ins + 2nx = 0 + insx -60ins + 2nx = insx Add '-1insx' to each side of the equation. -60ins + -1insx + 2nx = insx + -1insx Combine like terms: insx + -1insx = 0 -60ins + -1insx + 2nx = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-60is + -1isx + 2x) = 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 '(-60is + -1isx + 2x)' equal to zero and attempt to solve: Simplifying -60is + -1isx + 2x = 0 Solving -60is + -1isx + 2x = 0 Move all terms containing n to the left, all other terms to the right. Add '60is' to each side of the equation. -60is + -1isx + 60is + 2x = 0 + 60is Reorder the terms: -60is + 60is + -1isx + 2x = 0 + 60is Combine like terms: -60is + 60is = 0 0 + -1isx + 2x = 0 + 60is -1isx + 2x = 0 + 60is Remove the zero: -1isx + 2x = 60is Add 'isx' to each side of the equation. -1isx + isx + 2x = 60is + isx Combine like terms: -1isx + isx = 0 0 + 2x = 60is + isx 2x = 60is + isx Add '-2x' to each side of the equation. 2x + -2x = 60is + isx + -2x Combine like terms: 2x + -2x = 0 0 = 60is + isx + -2x Simplifying 0 = 60is + isx + -2x 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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