(4cotx-1)(sinx+1)=0

Solution for (4cotx-1)(sinx+1)=0 equation:

Simplifying
(4cotx + -1)(sinx + 1) = 0

Reorder the terms:
(-1 + 4cotx)(sinx + 1) = 0

Reorder the terms:
(-1 + 4cotx)(1 + insx) = 0

Multiply (-1 + 4cotx) * (1 + insx)
(-1(1 + insx) + 4cotx * (1 + insx)) = 0
((1 * -1 + insx * -1) + 4cotx * (1 + insx)) = 0
((-1 + -1insx) + 4cotx * (1 + insx)) = 0
(-1 + -1insx + (1 * 4cotx + insx * 4cotx)) = 0

Reorder the terms:
(-1 + -1insx + (4cinostx2 + 4cotx)) = 0
(-1 + -1insx + (4cinostx2 + 4cotx)) = 0

Reorder the terms:
(-1 + 4cinostx2 + 4cotx + -1insx) = 0
(-1 + 4cinostx2 + 4cotx + -1insx) = 0

Solving
-1 + 4cinostx2 + 4cotx + -1insx = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 4cinostx2 + 4cotx + 1 + -1insx = 0 + 1

Reorder the terms:
-1 + 1 + 4cinostx2 + 4cotx + -1insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4cinostx2 + 4cotx + -1insx = 0 + 1
4cinostx2 + 4cotx + -1insx = 0 + 1

Combine like terms: 0 + 1 = 1
4cinostx2 + 4cotx + -1insx = 1

Add 'insx' to each side of the equation.
4cinostx2 + 4cotx + -1insx + insx = 1 + insx

Combine like terms: -1insx + insx = 0
4cinostx2 + 4cotx + 0 = 1 + insx
4cinostx2 + 4cotx = 1 + insx

Reorder the terms:
-1 + 4cinostx2 + 4cotx + -1insx = 1 + insx + -1 + -1insx

Reorder the terms:
-1 + 4cinostx2 + 4cotx + -1insx = 1 + -1 + insx + -1insx

Combine like terms: 1 + -1 = 0
-1 + 4cinostx2 + 4cotx + -1insx = 0 + insx + -1insx
-1 + 4cinostx2 + 4cotx + -1insx = insx + -1insx

Combine like terms: insx + -1insx = 0
-1 + 4cinostx2 + 4cotx + -1insx = 0

The solution to this equation could not be determined.