3*sinx=2*sinx*cosx

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Solution for 3*sinx=2*sinx*cosx equation: 


Simplifying
3sinx = 2sinx * cosx

Multiply insx * cosx
3insx = 2cinos2x2

Solving
3insx = 2cinos2x2

Solving for variable 'i'.

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

Add '-2cinos2x2' to each side of the equation.
-2cinos2x2 + 3insx = 2cinos2x2 + -2cinos2x2

Combine like terms: 2cinos2x2 + -2cinos2x2 = 0
-2cinos2x2 + 3insx = 0

Factor out the Greatest Common Factor (GCF), 'insx'.
insx(-2cosx + 3) = 0


Subproblem 1
Set the factor 'insx' equal to zero and attempt to solve:

Simplifying
insx = 0

Solving
insx = 0

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

Simplifying
insx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2cosx + 3)' equal to zero and attempt to solve:

Simplifying
-2cosx + 3 = 0

Reorder the terms:
3 + -2cosx = 0

Solving
3 + -2cosx = 0

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

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

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

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

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

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

Simplifying
0 = -3 + 2cosx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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