(2tanx+1)*(3cosx-1)=0

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Solution for (2tanx+1)*(3cosx-1)=0 equation:


Simplifying
(2tanx + 1)(3cosx + -1) = 0

Reorder the terms:
(1 + 2antx)(3cosx + -1) = 0

Reorder the terms:
(1 + 2antx)(-1 + 3cosx) = 0

Multiply (1 + 2antx) * (-1 + 3cosx)
(1(-1 + 3cosx) + 2antx * (-1 + 3cosx)) = 0
((-1 * 1 + 3cosx * 1) + 2antx * (-1 + 3cosx)) = 0
((-1 + 3cosx) + 2antx * (-1 + 3cosx)) = 0
(-1 + 3cosx + (-1 * 2antx + 3cosx * 2antx)) = 0

Reorder the terms:
(-1 + 3cosx + (6acnostx2 + -2antx)) = 0
(-1 + 3cosx + (6acnostx2 + -2antx)) = 0

Reorder the terms:
(-1 + 6acnostx2 + -2antx + 3cosx) = 0
(-1 + 6acnostx2 + -2antx + 3cosx) = 0

Solving
-1 + 6acnostx2 + -2antx + 3cosx = 0

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 + 6acnostx2 + -2antx + 1 + 3cosx = 0 + 1

Reorder the terms:
-1 + 1 + 6acnostx2 + -2antx + 3cosx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6acnostx2 + -2antx + 3cosx = 0 + 1
6acnostx2 + -2antx + 3cosx = 0 + 1

Combine like terms: 0 + 1 = 1
6acnostx2 + -2antx + 3cosx = 1

Add '-3cosx' to each side of the equation.
6acnostx2 + -2antx + 3cosx + -3cosx = 1 + -3cosx

Combine like terms: 3cosx + -3cosx = 0
6acnostx2 + -2antx + 0 = 1 + -3cosx
6acnostx2 + -2antx = 1 + -3cosx

Reorder the terms:
-1 + 6acnostx2 + -2antx + 3cosx = 1 + -3cosx + -1 + 3cosx

Reorder the terms:
-1 + 6acnostx2 + -2antx + 3cosx = 1 + -1 + -3cosx + 3cosx

Combine like terms: 1 + -1 = 0
-1 + 6acnostx2 + -2antx + 3cosx = 0 + -3cosx + 3cosx
-1 + 6acnostx2 + -2antx + 3cosx = -3cosx + 3cosx

Combine like terms: -3cosx + 3cosx = 0
-1 + 6acnostx2 + -2antx + 3cosx = 0

The solution to this equation could not be determined.

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