sin(3x+50)-cos(2x-10)=0

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Solution for sin(3x+50)-cos(2x-10)=0 equation: 


Simplifying
sin(3x + 50) + -1cos(2x + -10) = 0

Reorder the terms:
ins(50 + 3x) + -1cos(2x + -10) = 0
(50 * ins + 3x * ins) + -1cos(2x + -10) = 0
(50ins + 3insx) + -1cos(2x + -10) = 0

Reorder the terms:
50ins + 3insx + -1cos(-10 + 2x) = 0
50ins + 3insx + (-10 * -1cos + 2x * -1cos) = 0
50ins + 3insx + (10cos + -2cosx) = 0

Reorder the terms:
10cos + -2cosx + 50ins + 3insx = 0

Solving
10cos + -2cosx + 50ins + 3insx = 0

Solving for variable 'c'.

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

Add '-50ins' to each side of the equation.
10cos + -2cosx + 50ins + -50ins + 3insx = 0 + -50ins

Combine like terms: 50ins + -50ins = 0
10cos + -2cosx + 0 + 3insx = 0 + -50ins
10cos + -2cosx + 3insx = 0 + -50ins
Remove the zero:
10cos + -2cosx + 3insx = -50ins

Add '-3insx' to each side of the equation.
10cos + -2cosx + 3insx + -3insx = -50ins + -3insx

Combine like terms: 3insx + -3insx = 0
10cos + -2cosx + 0 = -50ins + -3insx
10cos + -2cosx = -50ins + -3insx

Reorder the terms:
10cos + -2cosx + 50ins + 3insx = -50ins + 50ins + -3insx + 3insx

Combine like terms: -50ins + 50ins = 0
10cos + -2cosx + 50ins + 3insx = 0 + -3insx + 3insx
10cos + -2cosx + 50ins + 3insx = -3insx + 3insx

Combine like terms: -3insx + 3insx = 0
10cos + -2cosx + 50ins + 3insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(10co + -2cox + 50in + 3inx) = 0


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

Simplifying
s = 0

Solving
s = 0

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

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

Simplifying
0 = -1s

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 '(10co + -2cox + 50in + 3inx)' equal to zero and attempt to solve:

Simplifying
10co + -2cox + 50in + 3inx = 0

Solving
10co + -2cox + 50in + 3inx = 0

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

Add '-50in' to each side of the equation.
10co + -2cox + 50in + -50in + 3inx = 0 + -50in

Combine like terms: 50in + -50in = 0
10co + -2cox + 0 + 3inx = 0 + -50in
10co + -2cox + 3inx = 0 + -50in
Remove the zero:
10co + -2cox + 3inx = -50in

Add '-3inx' to each side of the equation.
10co + -2cox + 3inx + -3inx = -50in + -3inx

Combine like terms: 3inx + -3inx = 0
10co + -2cox + 0 = -50in + -3inx
10co + -2cox = -50in + -3inx

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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