4tan(6x+3)-1=1

Solution for 4tan(6x+3)-1=1 equation:

Simplifying
4tan(6x + 3) + -1 = 1

Reorder the terms:
4ant(3 + 6x) + -1 = 1
(3 * 4ant + 6x * 4ant) + -1 = 1
(12ant + 24antx) + -1 = 1

Reorder the terms:
-1 + 12ant + 24antx = 1

Solving
-1 + 12ant + 24antx = 1

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 12ant + 1 + 24antx = 1 + 1

Reorder the terms:
-1 + 1 + 12ant + 24antx = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 12ant + 24antx = 1 + 1
12ant + 24antx = 1 + 1

Combine like terms: 1 + 1 = 2
12ant + 24antx = 2

Reorder the terms:
-2 + 12ant + 24antx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 12ant + 24antx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6ant + 12antx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 6ant + 12antx)' equal to zero and attempt to solve:

Simplifying
-1 + 6ant + 12antx = 0

Solving
-1 + 6ant + 12antx = 0

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

Add '1' to each side of the equation.
-1 + 6ant + 1 + 12antx = 0 + 1

Reorder the terms:
-1 + 1 + 6ant + 12antx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6ant + 12antx = 0 + 1
6ant + 12antx = 0 + 1

Combine like terms: 0 + 1 = 1
6ant + 12antx = 1

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.