Sin(8x)=4sin(2x)

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Solution for Sin(8x)=4sin(2x) equation:


Simplifying
Sin(8x) = 4sin(2x)

Remove parenthesis around (8x)
inS * 8x = 4sin(2x)

Reorder the terms for easier multiplication:
8inS * x = 4sin(2x)

Multiply inS * x
8inxS = 4sin(2x)

Remove parenthesis around (2x)
8inxS = 4ins * 2x

Reorder the terms for easier multiplication:
8inxS = 4 * 2ins * x

Multiply 4 * 2
8inxS = 8ins * x

Multiply ins * x
8inxS = 8insx

Solving
8inxS = 8insx

Solving for variable 'i'.

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

Add '-8insx' to each side of the equation.
-8insx + 8inxS = 8insx + -8insx

Combine like terms: 8insx + -8insx = 0
-8insx + 8inxS = 0

Factor out the Greatest Common Factor (GCF), '8inx'.
8inx(-1s + S) = 0

Ignore the factor 8.

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