4sin^4x+4sin^3x-sin^2x-sinx=0

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Solution for 4sin^4x+4sin^3x-sin^2x-sinx=0 equation: 


Simplifying
4sin4x + 4sin3x + -1sin2x + -1sinx = 0

Reorder the terms:
-1insx + -1in2sx + 4in3sx + 4in4sx = 0

Solving
-1insx + -1in2sx + 4in3sx + 4in4sx = 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(-1 + -1n + 4n2 + 4n3) = 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 '(-1 + -1n + 4n2 + 4n3)' equal to zero and attempt to solve:

Simplifying
-1 + -1n + 4n2 + 4n3 = 0

Solving
-1 + -1n + 4n2 + 4n3 = 0

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

Add '1' to each side of the equation.
-1 + -1n + 4n2 + 1 + 4n3 = 0 + 1

Reorder the terms:
-1 + 1 + -1n + 4n2 + 4n3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1n + 4n2 + 4n3 = 0 + 1
-1n + 4n2 + 4n3 = 0 + 1

Combine like terms: 0 + 1 = 1
-1n + 4n2 + 4n3 = 1

Add 'n' to each side of the equation.
-1n + 4n2 + n + 4n3 = 1 + n

Reorder the terms:
-1n + n + 4n2 + 4n3 = 1 + n

Combine like terms: -1n + n = 0
0 + 4n2 + 4n3 = 1 + n
4n2 + 4n3 = 1 + n

Add '-4n2' to each side of the equation.
4n2 + -4n2 + 4n3 = 1 + n + -4n2

Combine like terms: 4n2 + -4n2 = 0
0 + 4n3 = 1 + n + -4n2
4n3 = 1 + n + -4n2

Add '-4n3' to each side of the equation.
4n3 + -4n3 = 1 + n + -4n2 + -4n3

Combine like terms: 4n3 + -4n3 = 0
0 = 1 + n + -4n2 + -4n3

Simplifying
0 = 1 + n + -4n2 + -4n3

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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