Sin(7x)+sin(3x)=0

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Solution for Sin(7x)+sin(3x)=0 equation: 


Simplifying
Sin(7x) + sin(3x) = 0

Remove parenthesis around (7x)
inS * 7x + sin(3x) = 0

Reorder the terms for easier multiplication:
7inS * x + sin(3x) = 0

Multiply inS * x
7inxS + sin(3x) = 0

Remove parenthesis around (3x)
7inxS + ins * 3x = 0

Reorder the terms for easier multiplication:
7inxS + 3ins * x = 0

Multiply ins * x
7inxS + 3insx = 0

Reorder the terms:
3insx + 7inxS = 0

Solving
3insx + 7inxS = 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(3s + 7S) = 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 '(3s + 7S)' equal to zero and attempt to solve:

Simplifying
3s + 7S = 0

Reorder the terms:
7S + 3s = 0

Solving
7S + 3s = 0

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

Add '-7S' to each side of the equation.
7S + -7S + 3s = 0 + -7S

Combine like terms: 7S + -7S = 0
0 + 3s = 0 + -7S
3s = 0 + -7S
Remove the zero:
3s = -7S

Add '-3s' to each side of the equation.
3s + -3s = -7S + -3s

Combine like terms: 3s + -3s = 0
0 = -7S + -3s

Simplifying
0 = -7S + -3s

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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