(Sin(7x))-(sin(x))=0

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


Simplifying
(Sin(7x)) + -1(sin(x)) = 0

Remove parenthesis around (7x)
(inS * 7x) + -1(sin(x)) = 0

Reorder the terms for easier multiplication:
(7inS * x) + -1(sin(x)) = 0

Multiply inS * x
(7inxS) + -1(sin(x)) = 0

Multiply ins * x
(7inxS) + -1(insx) = 0

Reorder the terms:
-1insx + (7inxS) = 0

Solving
-1insx + (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(-1s + (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 '(-1s + (7S))' equal to zero and attempt to solve:

Simplifying
-1s + (7S) = 0

Reorder the terms:
(7S) + -1s = 0

Solving
(7S) + -1s = 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) + -1s = 0 + (-7S)

Combine like terms: (7S) + (-7S) = 0
0 + -1s = 0 + (-7S)
-1s = 0 + (-7S)
Remove the zero:
-1s = (-7S)

Add 's' to each side of the equation.
-1s + s = (-7S) + s

Combine like terms: -1s + s = 0
0 = (-7S) + s

Simplifying
0 = (-7S) + 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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