3cos(x)+2sin(x)-xsin(x)+xcos(x)=1

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Solution for 3cos(x)+2sin(x)-xsin(x)+xcos(x)=1 equation: 


Simplifying
3cos(x) + 2sin(x) + -1xsin(x) + xcos(x) = 1

Multiply cos * x
3cosx + 2sin(x) + -1xsin(x) + xcos(x) = 1

Multiply ins * x
3cosx + 2insx + -1xsin(x) + xcos(x) = 1

Multiply insx * x
3cosx + 2insx + -1insx2 + xcos(x) = 1

Multiply cosx * x
3cosx + 2insx + -1insx2 + cosx2 = 1

Reorder the terms:
3cosx + cosx2 + 2insx + -1insx2 = 1

Solving
3cosx + cosx2 + 2insx + -1insx2 = 1

Solving for variable 'c'.

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

Add '-2insx' to each side of the equation.
3cosx + cosx2 + 2insx + -2insx + -1insx2 = 1 + -2insx

Combine like terms: 2insx + -2insx = 0
3cosx + cosx2 + 0 + -1insx2 = 1 + -2insx
3cosx + cosx2 + -1insx2 = 1 + -2insx

Add 'insx2' to each side of the equation.
3cosx + cosx2 + -1insx2 + insx2 = 1 + -2insx + insx2

Combine like terms: -1insx2 + insx2 = 0
3cosx + cosx2 + 0 = 1 + -2insx + insx2
3cosx + cosx2 = 1 + -2insx + insx2

Reorder the terms:
-1 + 3cosx + cosx2 + 2insx + -1insx2 = 1 + -2insx + insx2 + -1 + 2insx + -1insx2

Reorder the terms:
-1 + 3cosx + cosx2 + 2insx + -1insx2 = 1 + -1 + -2insx + 2insx + insx2 + -1insx2

Combine like terms: 1 + -1 = 0
-1 + 3cosx + cosx2 + 2insx + -1insx2 = 0 + -2insx + 2insx + insx2 + -1insx2
-1 + 3cosx + cosx2 + 2insx + -1insx2 = -2insx + 2insx + insx2 + -1insx2

Combine like terms: -2insx + 2insx = 0
-1 + 3cosx + cosx2 + 2insx + -1insx2 = 0 + insx2 + -1insx2
-1 + 3cosx + cosx2 + 2insx + -1insx2 = insx2 + -1insx2

Combine like terms: insx2 + -1insx2 = 0
-1 + 3cosx + cosx2 + 2insx + -1insx2 = 0

The solution to this equation could not be determined.

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