Sin(2x)=2sin(x)

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Solution for Sin(2x)=2sin(x) equation: 


Simplifying
Sin(2x) = 2sin(x)

Remove parenthesis around (2x)
inS * 2x = 2sin(x)

Reorder the terms for easier multiplication:
2inS * x = 2sin(x)

Multiply inS * x
2inxS = 2sin(x)

Multiply ins * x
2inxS = 2insx

Solving
2inxS = 2insx

Solving for variable 'i'.

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

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

Combine like terms: 2insx + -2insx = 0
-2insx + 2inxS = 0

Factor out the Greatest Common Factor (GCF), '2inx'.
2inx(-1s + S) = 0

Ignore the factor 2.

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

Simplifying
inx = 0

Solving
inx = 0

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

Simplifying
inx = 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 '(-1s + S)' equal to zero and attempt to solve:

Simplifying
-1s + S = 0

Reorder the terms:
S + -1s = 0

Solving
S + -1s = 0

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

Add '-1S' to each side of the equation.
S + -1S + -1s = 0 + -1S

Combine like terms: S + -1S = 0
0 + -1s = 0 + -1S
-1s = 0 + -1S
Remove the zero:
-1s = -1S

Add 's' to each side of the equation.
-1s + s = -1S + s

Combine like terms: -1s + s = 0
0 = -1S + s

Simplifying
0 = -1S + s

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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