4sen^3x=2senx

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Solution for 4sen^3x=2senx equation:


Simplifying
4sen3x = 2senx

Solving
4en3sx = 2ensx

Solving for variable 'e'.

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

Add '-2ensx' to each side of the equation.
-2ensx + 4en3sx = 2ensx + -2ensx

Combine like terms: 2ensx + -2ensx = 0
-2ensx + 4en3sx = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor 'ensx' equal to zero and attempt to solve: Simplifying ensx = 0 Solving ensx = 0 Move all terms containing e to the left, all other terms to the right. Simplifying ensx = 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 e 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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