2sinx=sin(x-60)

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Solution for 2sinx=sin(x-60) equation: 


Simplifying
2sinx = sin(x + -60)

Reorder the terms:
2insx = ins(-60 + x)
2insx = (-60 * ins + x * ins)
2insx = (-60ins + insx)

Solving
2insx = -60ins + insx

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '60ins' to each side of the equation.
60ins + 2insx = -60ins + 60ins + insx

Combine like terms: -60ins + 60ins = 0
60ins + 2insx = 0 + insx
60ins + 2insx = insx

Add '-1insx' to each side of the equation.
60ins + 2insx + -1insx = insx + -1insx

Combine like terms: 2insx + -1insx = 1insx
60ins + 1insx = insx + -1insx

Combine like terms: insx + -1insx = 0
60ins + 1insx = 0

Factor out the Greatest Common Factor (GCF), 'ins'.
ins(60 + x) = 0


Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve:

Simplifying
ins = 0

Solving
ins = 0

Move all terms containing i to the left, all other terms to the right.

Simplifying
ins = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(60 + x)' equal to zero and attempt to solve:

Simplifying
60 + x = 0

Solving
60 + x = 0

Move all terms containing i to the left, all other terms to the right.

Add '-60' to each side of the equation.
60 + -60 + x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + x = 0 + -60
x = 0 + -60

Combine like terms: 0 + -60 = -60
x = -60

Add '-1x' to each side of the equation.
x + -1x = -60 + -1x

Combine like terms: x + -1x = 0
0 = -60 + -1x

Simplifying
0 = -60 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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