4sin(2x)+3cos(2x)=0

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Solution for 4sin(2x)+3cos(2x)=0 equation:


Simplifying
4sin(2x) + 3cos(2x) = 0

Remove parenthesis around (2x)
4ins * 2x + 3cos(2x) = 0

Reorder the terms for easier multiplication:
4 * 2ins * x + 3cos(2x) = 0

Multiply 4 * 2
8ins * x + 3cos(2x) = 0

Multiply ins * x
8insx + 3cos(2x) = 0

Remove parenthesis around (2x)
8insx + 3cos * 2x = 0

Reorder the terms for easier multiplication:
8insx + 3 * 2cos * x = 0

Multiply 3 * 2
8insx + 6cos * x = 0

Multiply cos * x
8insx + 6cosx = 0

Reorder the terms:
6cosx + 8insx = 0

Solving
6cosx + 8insx = 0

Solving for variable 'c'.

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

Add '-8insx' to each side of the equation.
6cosx + 8insx + -8insx = 0 + -8insx

Combine like terms: 8insx + -8insx = 0
6cosx + 0 = 0 + -8insx
6cosx = 0 + -8insx
Remove the zero:
6cosx = -8insx

Divide each side by '6osx'.
c = -1.333333333ino-1

Simplifying
c = -1.333333333ino-1

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