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

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


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

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

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

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

Multiply ins * x
3inxS + insx = 0

Reorder the terms:
insx + 3inxS = 0

Solving
insx + 3inxS = 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(s + 3S) = 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 '(s + 3S)' equal to zero and attempt to solve: Simplifying s + 3S = 0 Reorder the terms: 3S + s = 0 Solving 3S + s = 0 Move all terms containing i to the left, all other terms to the right. Add '-3S' to each side of the equation. 3S + -3S + s = 0 + -3S Combine like terms: 3S + -3S = 0 0 + s = 0 + -3S s = 0 + -3S Remove the zero: s = -3S Add '-1s' to each side of the equation. s + -1s = -3S + -1s Combine like terms: s + -1s = 0 0 = -3S + -1s Simplifying 0 = -3S + -1s 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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