2sinx+6cosx=-3

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Solution for 2sinx+6cosx=-3 equation: 


Simplifying
2sinx + 6cosx = -3

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

Solving
6cosx + 2insx = -3

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.
6cosx + 2insx + -2insx = -3 + -2insx

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

Divide each side by '6osx'.
c = -0.5o-1s-1x-1 + -0.3333333333ino-1

Simplifying
c = -0.5o-1s-1x-1 + -0.3333333333ino-1

Reorder the terms:
c = -0.3333333333ino-1 + -0.5o-1s-1x-1

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