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

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


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

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

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

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

Multiply ins * x
7inxS + -1insx = 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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