xcos(3x+7y)=ysinx

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Solution for xcos(3x+7y)=ysinx equation: 


Simplifying
xcos(3x + 7y) = ysinx
(3x * cosx + 7y * cosx) = ysinx

Reorder the terms:
(7cosxy + 3cosx2) = ysinx
(7cosxy + 3cosx2) = ysinx

Solving
7cosxy + 3cosx2 = insxy

Solving for variable 'c'.

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

Combine like terms: insxy + -1insxy = 0
7cosxy + 3cosx2 + -1insxy = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(7coy + 3cox + -1iny) = 0


Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve:

Simplifying
sx = 0

Solving
sx = 0

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

Add '-1sx' to each side of the equation.
sx + -1sx = 0 + -1sx
Remove the zero:
0 = -1sx

Simplifying
0 = -1sx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7coy + 3cox + -1iny)' equal to zero and attempt to solve:

Simplifying
7coy + 3cox + -1iny = 0

Reorder the terms:
3cox + 7coy + -1iny = 0

Solving
3cox + 7coy + -1iny = 0

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

Add 'iny' to each side of the equation.
3cox + 7coy + -1iny + iny = 0 + iny

Combine like terms: -1iny + iny = 0
3cox + 7coy + 0 = 0 + iny
3cox + 7coy = 0 + iny
Remove the zero:
3cox + 7coy = iny

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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