2sinx+3cosx+6=0

Solution for 2sinx+3cosx+6=0 equation:

Simplifying
2sinx + 3cosx + 6 = 0

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

Solving
6 + 3cosx + 2insx = 0

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + 3cosx + -6 + 2insx = 0 + -6

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

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

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

Add '-2insx' to each side of the equation.
3cosx + 2insx + -2insx = -6 + -2insx

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

Divide each side by '3osx'.
c = -2o-1s-1x-1 + -0.6666666667ino-1

Simplifying
c = -2o-1s-1x-1 + -0.6666666667ino-1

Reorder the terms:
c = -0.6666666667ino-1 + -2o-1s-1x-1