(CosX-5)*(CosX+1)=0

Solution for (CosX-5)*(CosX+1)=0 equation:

Simplifying
(CosX + -5)(CosX + 1) = 0

Reorder the terms:
(-5 + osCX)(CosX + 1) = 0

Reorder the terms:
(-5 + osCX)(1 + osCX) = 0

Multiply (-5 + osCX) * (1 + osCX)
(-5(1 + osCX) + osCX(1 + osCX)) = 0
((1 * -5 + osCX * -5) + osCX(1 + osCX)) = 0
((-5 + -5osCX) + osCX(1 + osCX)) = 0
(-5 + -5osCX + (1 * osCX + osCX * osCX)) = 0
(-5 + -5osCX + (1osCX + o2s2C2X2)) = 0

Combine like terms: -5osCX + 1osCX = -4osCX
(-5 + -4osCX + o2s2C2X2) = 0

Solving
-5 + -4osCX + o2s2C2X2 = 0

Solving for variable 'o'.

Factor a trinomial.
(-1 + -1osCX)(5 + -1osCX) = 0

Subproblem 1
Set the factor '(-1 + -1osCX)' equal to zero and attempt to solve:

Simplifying
-1 + -1osCX = 0

Solving
-1 + -1osCX = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -1osCX = 0 + 1
-1osCX = 0 + 1

Combine like terms: 0 + 1 = 1
-1osCX = 1

Divide each side by '-1sCX'.
o = -1s-1C-1X-1

Simplifying
o = -1s-1C-1X-1
Subproblem 2
Set the factor '(5 + -1osCX)' equal to zero and attempt to solve:

Simplifying
5 + -1osCX = 0

Solving
5 + -1osCX = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1osCX = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1osCX = 0 + -5
-1osCX = 0 + -5

Combine like terms: 0 + -5 = -5
-1osCX = -5

Divide each side by '-1sCX'.
o = 5s-1C-1X-1

Simplifying
o = 5s-1C-1X-1
Solution
o = {-1s-1C-1X-1, 5s-1C-1X-1}