4-4sin^2x+3sinx=4

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Solution for 4-4sin^2x+3sinx=4 equation: 


Simplifying
4 + -4sin2x + 3sinx = 4

Reorder the terms:
4 + 3insx + -4in2sx = 4

Add '-4' to each side of the equation.
4 + 3insx + -4 + -4in2sx = 4 + -4

Reorder the terms:
4 + -4 + 3insx + -4in2sx = 4 + -4

Combine like terms: 4 + -4 = 0
0 + 3insx + -4in2sx = 4 + -4
3insx + -4in2sx = 4 + -4

Combine like terms: 4 + -4 = 0
3insx + -4in2sx = 0

Solving
3insx + -4in2sx = 0

Solving for variable 'i'.

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

Factor out the Greatest Common Factor (GCF), 'insx'.
insx(3 + -4n) = 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 '(3 + -4n)' equal to zero and attempt to solve:

Simplifying
3 + -4n = 0

Solving
3 + -4n = 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 + -4n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4n = 0 + -3
-4n = 0 + -3

Combine like terms: 0 + -3 = -3
-4n = -3

Add '4n' to each side of the equation.
-4n + 4n = -3 + 4n

Combine like terms: -4n + 4n = 0
0 = -3 + 4n

Simplifying
0 = -3 + 4n

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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