(Sinx-5)(2cosx-1)=0

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Solution for (Sinx-5)(2cosx-1)=0 equation: 


Simplifying
(Sinx + -5)(2cosx + -1) = 0

Reorder the terms:
(-5 + inxS)(2cosx + -1) = 0

Reorder the terms:
(-5 + inxS)(-1 + 2cosx) = 0

Multiply (-5 + inxS) * (-1 + 2cosx)
(-5(-1 + 2cosx) + inxS(-1 + 2cosx)) = 0
((-1 * -5 + 2cosx * -5) + inxS(-1 + 2cosx)) = 0
((5 + -10cosx) + inxS(-1 + 2cosx)) = 0
(5 + -10cosx + (-1 * inxS + 2cosx * inxS)) = 0

Reorder the terms:
(5 + -10cosx + (2cinosx2S + -1inxS)) = 0
(5 + -10cosx + (2cinosx2S + -1inxS)) = 0

Reorder the terms:
(5 + 2cinosx2S + -10cosx + -1inxS) = 0
(5 + 2cinosx2S + -10cosx + -1inxS) = 0

Solving
5 + 2cinosx2S + -10cosx + -1inxS = 0

Solving for variable 'c'.

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

Add '-5' to each side of the equation.
5 + 2cinosx2S + -10cosx + -5 + -1inxS = 0 + -5

Reorder the terms:
5 + -5 + 2cinosx2S + -10cosx + -1inxS = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2cinosx2S + -10cosx + -1inxS = 0 + -5
2cinosx2S + -10cosx + -1inxS = 0 + -5

Combine like terms: 0 + -5 = -5
2cinosx2S + -10cosx + -1inxS = -5

Add 'inxS' to each side of the equation.
2cinosx2S + -10cosx + -1inxS + inxS = -5 + inxS

Combine like terms: -1inxS + inxS = 0
2cinosx2S + -10cosx + 0 = -5 + inxS
2cinosx2S + -10cosx = -5 + inxS

Reorder the terms:
5 + 2cinosx2S + -10cosx + -1inxS = -5 + inxS + 5 + -1inxS

Reorder the terms:
5 + 2cinosx2S + -10cosx + -1inxS = -5 + 5 + inxS + -1inxS

Combine like terms: -5 + 5 = 0
5 + 2cinosx2S + -10cosx + -1inxS = 0 + inxS + -1inxS
5 + 2cinosx2S + -10cosx + -1inxS = inxS + -1inxS

Combine like terms: inxS + -1inxS = 0
5 + 2cinosx2S + -10cosx + -1inxS = 0

The solution to this equation could not be determined.

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