4tan(3x-1)=2

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Solution for 4tan(3x-1)=2 equation:


Simplifying
4tan(3x + -1) = 2

Reorder the terms:
4ant(-1 + 3x) = 2
(-1 * 4ant + 3x * 4ant) = 2
(-4ant + 12antx) = 2

Solving
-4ant + 12antx = 2

Solving for variable 'a'.

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

Reorder the terms:
-2 + -4ant + 12antx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -4ant + 12antx = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -2ant + 6antx)' equal to zero and attempt to solve: Simplifying -1 + -2ant + 6antx = 0 Solving -1 + -2ant + 6antx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2ant + 1 + 6antx = 0 + 1 Reorder the terms: -1 + 1 + -2ant + 6antx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2ant + 6antx = 0 + 1 -2ant + 6antx = 0 + 1 Combine like terms: 0 + 1 = 1 -2ant + 6antx = 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.

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