2*sinx+3*cosx-1=0

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Solution for 2*sinx+3*cosx-1=0 equation:


Simplifying
2sinx + 3cosx + -1 = 0

Reorder the terms:
-1 + 3cosx + 2insx = 0

Solving
-1 + 3cosx + 2insx = 0

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 3cosx + 1 + 2insx = 0 + 1

Reorder the terms:
-1 + 1 + 3cosx + 2insx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3cosx + 2insx = 0 + 1
3cosx + 2insx = 0 + 1

Combine like terms: 0 + 1 = 1
3cosx + 2insx = 1

Add '-2insx' to each side of the equation.
3cosx + 2insx + -2insx = 1 + -2insx

Combine like terms: 2insx + -2insx = 0
3cosx + 0 = 1 + -2insx
3cosx = 1 + -2insx

Divide each side by '3osx'.
c = 0.3333333333o-1s-1x-1 + -0.6666666667ino-1

Simplifying
c = 0.3333333333o-1s-1x-1 + -0.6666666667ino-1

Reorder the terms:
c = -0.6666666667ino-1 + 0.3333333333o-1s-1x-1

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