Sen(2x)=sen(5x)

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Solution for Sen(2x)=sen(5x) equation:


Simplifying
Sen(2x) = sen(5x)

Remove parenthesis around (2x)
enS * 2x = sen(5x)

Reorder the terms for easier multiplication:
2enS * x = sen(5x)

Multiply enS * x
2enxS = sen(5x)

Remove parenthesis around (5x)
2enxS = ens * 5x

Reorder the terms for easier multiplication:
2enxS = 5ens * x

Multiply ens * x
2enxS = 5ensx

Solving
2enxS = 5ensx

Solving for variable 'e'.

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

Add '-5ensx' to each side of the equation.
-5ensx + 2enxS = 5ensx + -5ensx

Combine like terms: 5ensx + -5ensx = 0
-5ensx + 2enxS = 0

Factor out the Greatest Common Factor (GCF), 'enx'.
enx(-5s + 2S) = 0

Subproblem 1

Set the factor 'enx' equal to zero and attempt to solve: Simplifying enx = 0 Solving enx = 0 Move all terms containing e to the left, all other terms to the right. Simplifying enx = 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 '(-5s + 2S)' equal to zero and attempt to solve: Simplifying -5s + 2S = 0 Reorder the terms: 2S + -5s = 0 Solving 2S + -5s = 0 Move all terms containing e to the left, all other terms to the right. Add '-2S' to each side of the equation. 2S + -2S + -5s = 0 + -2S Combine like terms: 2S + -2S = 0 0 + -5s = 0 + -2S -5s = 0 + -2S Remove the zero: -5s = -2S Add '5s' to each side of the equation. -5s + 5s = -2S + 5s Combine like terms: -5s + 5s = 0 0 = -2S + 5s Simplifying 0 = -2S + 5s 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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