4(sin^2x-1)=3sinx-4

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Solution for 4(sin^2x-1)=3sinx-4 equation: 


Simplifying
4(sin2x + -1) = 3sinx + -4

Reorder the terms:
4(-1 + in2sx) = 3sinx + -4
(-1 * 4 + in2sx * 4) = 3sinx + -4
(-4 + 4in2sx) = 3sinx + -4

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

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

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

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

Solving
4in2sx = 3insx

Solving for variable 'i'.

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

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

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

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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