3sin^2x-5=sinx-5

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Solution for 3sin^2x-5=sinx-5 equation: 


Simplifying
3sin2x + -5 = sinx + -5

Reorder the terms:
-5 + 3in2sx = sinx + -5

Reorder the terms:
-5 + 3in2sx = -5 + insx

Add '5' to each side of the equation.
-5 + 5 + 3in2sx = -5 + 5 + insx

Combine like terms: -5 + 5 = 0
0 + 3in2sx = -5 + 5 + insx
3in2sx = -5 + 5 + insx

Combine like terms: -5 + 5 = 0
3in2sx = 0 + insx
3in2sx = insx

Solving
3in2sx = insx

Solving for variable 'i'.

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

Add '-1insx' to each side of the equation.
-1insx + 3in2sx = insx + -1insx

Combine like terms: insx + -1insx = 0
-1insx + 3in2sx = 0

Factor out the Greatest Common Factor (GCF), 'insx'.
insx(-1 + 3n) = 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 + 3n)' equal to zero and attempt to solve:

Simplifying
-1 + 3n = 0

Solving
-1 + 3n = 0

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

Add '1' to each side of the equation.
-1 + 1 + 3n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3n = 0 + 1
3n = 0 + 1

Combine like terms: 0 + 1 = 1
3n = 1

Add '-3n' to each side of the equation.
3n + -3n = 1 + -3n

Combine like terms: 3n + -3n = 0
0 = 1 + -3n

Simplifying
0 = 1 + -3n

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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