tan(x+30)=2tan(x)

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Solution for tan(x+30)=2tan(x) equation: 


Simplifying
tan(x + 30) = 2tan(x)

Reorder the terms:
ant(30 + x) = 2tan(x)
(30 * ant + x * ant) = 2tan(x)
(30ant + antx) = 2tan(x)

Multiply ant * x
30ant + antx = 2antx

Solving
30ant + antx = 2antx

Solving for variable 'a'.

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

Add '-2antx' to each side of the equation.
30ant + antx + -2antx = 2antx + -2antx

Combine like terms: antx + -2antx = -1antx
30ant + -1antx = 2antx + -2antx

Combine like terms: 2antx + -2antx = 0
30ant + -1antx = 0

Factor out the Greatest Common Factor (GCF), 'ant'.
ant(30 + -1x) = 0


Subproblem 1
Set the factor 'ant' equal to zero and attempt to solve:

Simplifying
ant = 0

Solving
ant = 0

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

Simplifying
ant = 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 '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Add 'x' to each side of the equation.
-1x + x = -30 + x

Combine like terms: -1x + x = 0
0 = -30 + x

Simplifying
0 = -30 + x

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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