2sin^3x=sinx

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Solution for 2sin^3x=sinx equation:


Simplifying
2sin3x = sinx

Solving
2in3sx = insx

Solving for variable 'i'.

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

Add '-1insx' to each side of the equation.
-1insx + 2in3sx = insx + -1insx

Combine like terms: insx + -1insx = 0
-1insx + 2in3sx = 0

Factor out the Greatest Common Factor (GCF), 'insx'.
insx(-1 + 2n2) = 0

Subproblem 1

Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 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 '(-1 + 2n2)' equal to zero and attempt to solve: Simplifying -1 + 2n2 = 0 Solving -1 + 2n2 = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2n2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2n2 = 0 + 1 2n2 = 0 + 1 Combine like terms: 0 + 1 = 1 2n2 = 1 Add '-2n2' to each side of the equation. 2n2 + -2n2 = 1 + -2n2 Combine like terms: 2n2 + -2n2 = 0 0 = 1 + -2n2 Simplifying 0 = 1 + -2n2 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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