3sinx+2cosx-3=0

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


Simplifying
3sinx + 2cosx + -3 = 0

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

Solving
-3 + 2cosx + 3insx = 0

Solving for variable 'c'.

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

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

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

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

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

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

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

Divide each side by '2osx'.
c = 1.5o-1s-1x-1 + -1.5ino-1

Simplifying
c = 1.5o-1s-1x-1 + -1.5ino-1

Reorder the terms:
c = -1.5ino-1 + 1.5o-1s-1x-1

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