tan(3x)(tan(x)-1)=0

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Solution for tan(3x)(tan(x)-1)=0 equation:


Simplifying
tan(3x)(tan(x) + -1) = 0

Remove parenthesis around (3x)
ant * 3x(tan(x) + -1) = 0

Multiply ant * x
ant * 3x(antx + -1) = 0

Reorder the terms:
ant * 3x(-1 + antx) = 0

Reorder the terms for easier multiplication:
3ant * x(-1 + antx) = 0

Multiply ant * x
3antx(-1 + antx) = 0
(-1 * 3antx + antx * 3antx) = 0
(-3antx + 3a2n2t2x2) = 0

Solving
-3antx + 3a2n2t2x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3antx'.
3antx(-1 + antx) = 0

Ignore the factor 3.

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 '(-1 + antx)' equal to zero and attempt to solve: Simplifying -1 + antx = 0 Solving -1 + antx = 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 + antx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + antx = 0 + 1 antx = 0 + 1 Combine like terms: 0 + 1 = 1 antx = 1 Divide each side by 'ntx'. a = n-1t-1x-1 Simplifying a = n-1t-1x-1

Solution

a = {n-1t-1x-1}

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