2nx=sin(x+60)

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Solution for 2nx=sin(x+60) equation:


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) = 0

Subproblem 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 = 0

Subproblem 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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