Sin(2x)+sin(5x)=0

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Solution for Sin(2x)+sin(5x)=0 equation: 


Simplifying
Sin(2x) + sin(5x) = 0

Remove parenthesis around (2x)
inS * 2x + sin(5x) = 0

Reorder the terms for easier multiplication:
2inS * x + sin(5x) = 0

Multiply inS * x
2inxS + sin(5x) = 0

Remove parenthesis around (5x)
2inxS + ins * 5x = 0

Reorder the terms for easier multiplication:
2inxS + 5ins * x = 0

Multiply ins * x
2inxS + 5insx = 0

Reorder the terms:
5insx + 2inxS = 0

Solving
5insx + 2inxS = 0

Solving for variable 'i'.

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

Factor out the Greatest Common Factor (GCF), 'inx'.
inx(5s + 2S) = 0


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 '(5s + 2S)' equal to zero and attempt to solve:

Simplifying
5s + 2S = 0

Reorder the terms:
2S + 5s = 0

Solving
2S + 5s = 0

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

Add '-2S' to each side of the equation.
2S + -2S + 5s = 0 + -2S

Combine like terms: 2S + -2S = 0
0 + 5s = 0 + -2S
5s = 0 + -2S
Remove the zero:
5s = -2S

Add '-5s' to each side of the equation.
5s + -5s = -2S + -5s

Combine like terms: 5s + -5s = 0
0 = -2S + -5s

Simplifying
0 = -2S + -5s

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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