Sin(2x)tan(x)-tan(x)=0

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Solution for Sin(2x)tan(x)-tan(x)=0 equation:


Simplifying
Sin(2x) * tan(x) + -1tan(x) = 0

Remove parenthesis around (2x)
inS * 2x * tan(x) + -1tan(x) = 0

Reorder the terms for easier multiplication:
2inS * x * ant * x + -1tan(x) = 0

Multiply inS * x
2inxS * ant * x + -1tan(x) = 0

Multiply inxS * ant
2ain2txS * x + -1tan(x) = 0

Multiply ain2txS * x
2ain2tx2S + -1tan(x) = 0

Multiply ant * x
2ain2tx2S + -1antx = 0

Solving
2ain2tx2S + -1antx = 0

Solving for variable 'a'.

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

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

Subproblem 1

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