Tan^2x-4tan(x-5)=0

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Solution for Tan^2x-4tan(x-5)=0 equation: 


Simplifying
Tan2x + -4tan(x + -5) = 0

Reorder the terms:
an2xT + -4ant(-5 + x) = 0
an2xT + (-5 * -4ant + x * -4ant) = 0
an2xT + (20ant + -4antx) = 0

Reorder the terms:
20ant + -4antx + an2xT = 0

Solving
20ant + -4antx + an2xT = 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), 'an'.
an(20t + -4tx + nxT) = 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 '(20t + -4tx + nxT)' equal to zero and attempt to solve:

Simplifying
20t + -4tx + nxT = 0

Reorder the terms:
nxT + 20t + -4tx = 0

Solving
nxT + 20t + -4tx = 0

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

Add '-1nxT' to each side of the equation.
nxT + 20t + -1nxT + -4tx = 0 + -1nxT

Reorder the terms:
nxT + -1nxT + 20t + -4tx = 0 + -1nxT

Combine like terms: nxT + -1nxT = 0
0 + 20t + -4tx = 0 + -1nxT
20t + -4tx = 0 + -1nxT
Remove the zero:
20t + -4tx = -1nxT

Add '-20t' to each side of the equation.
20t + -20t + -4tx = -1nxT + -20t

Combine like terms: 20t + -20t = 0
0 + -4tx = -1nxT + -20t
-4tx = -1nxT + -20t

Add '4tx' to each side of the equation.
-4tx + 4tx = -1nxT + -20t + 4tx

Combine like terms: -4tx + 4tx = 0
0 = -1nxT + -20t + 4tx

Simplifying
0 = -1nxT + -20t + 4tx

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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