Tan(x-pi)=tanx

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Solution for Tan(x-pi)=tanx equation:


Simplifying
Tan(x + -1pi) = tanx

Reorder the terms:
anT(-1ip + x) = tanx
(-1ip * anT + x * anT) = tanx
(-1ainpT + anxT) = tanx

Solving
-1ainpT + anxT = antx

Solving for variable 'a'.

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

Add '-1antx' to each side of the equation.
-1ainpT + -1antx + anxT = antx + -1antx

Combine like terms: antx + -1antx = 0
-1ainpT + -1antx + anxT = 0

Factor out the Greatest Common Factor (GCF), 'an'.
an(-1ipT + -1tx + xT) = 0

Subproblem 1

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