Cos(3x)-sin(6x)+sin(2x)-cos(7x)=0

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Solution for Cos(3x)-sin(6x)+sin(2x)-cos(7x)=0 equation:


Simplifying
Cos(3x) + -1sin(6x) + sin(2x) + -1cos(7x) = 0

Remove parenthesis around (3x)
osC * 3x + -1sin(6x) + sin(2x) + -1cos(7x) = 0

Reorder the terms for easier multiplication:
3osC * x + -1sin(6x) + sin(2x) + -1cos(7x) = 0

Multiply osC * x
3osxC + -1sin(6x) + sin(2x) + -1cos(7x) = 0

Remove parenthesis around (6x)
3osxC + -1ins * 6x + sin(2x) + -1cos(7x) = 0

Reorder the terms for easier multiplication:
3osxC + -1 * 6ins * x + sin(2x) + -1cos(7x) = 0

Multiply -1 * 6
3osxC + -6ins * x + sin(2x) + -1cos(7x) = 0

Multiply ins * x
3osxC + -6insx + sin(2x) + -1cos(7x) = 0

Remove parenthesis around (2x)
3osxC + -6insx + ins * 2x + -1cos(7x) = 0

Reorder the terms for easier multiplication:
3osxC + -6insx + 2ins * x + -1cos(7x) = 0

Multiply ins * x
3osxC + -6insx + 2insx + -1cos(7x) = 0

Remove parenthesis around (7x)
3osxC + -6insx + 2insx + -1cos * 7x = 0

Reorder the terms for easier multiplication:
3osxC + -6insx + 2insx + -1 * 7cos * x = 0

Multiply -1 * 7
3osxC + -6insx + 2insx + -7cos * x = 0

Multiply cos * x
3osxC + -6insx + 2insx + -7cosx = 0

Reorder the terms:
-7cosx + -6insx + 2insx + 3osxC = 0

Combine like terms: -6insx + 2insx = -4insx
-7cosx + -4insx + 3osxC = 0

Solving
-7cosx + -4insx + 3osxC = 0

Solving for variable 'c'.

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

Add '4insx' to each side of the equation.
-7cosx + -4insx + 4insx + 3osxC = 0 + 4insx

Combine like terms: -4insx + 4insx = 0
-7cosx + 0 + 3osxC = 0 + 4insx
-7cosx + 3osxC = 0 + 4insx
Remove the zero:
-7cosx + 3osxC = 4insx

Add '-3osxC' to each side of the equation.
-7cosx + 3osxC + -3osxC = 4insx + -3osxC

Combine like terms: 3osxC + -3osxC = 0
-7cosx + 0 = 4insx + -3osxC
-7cosx = 4insx + -3osxC

Divide each side by '-7osx'.
c = -0.5714285714ino-1 + 0.4285714286C

Simplifying
c = -0.5714285714ino-1 + 0.4285714286C

Reorder the terms:
c = 0.4285714286C + -0.5714285714ino-1

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