8sin(3x+4)-6=0

Solution for 8sin(3x+4)-6=0 equation:

Simplifying
8sin(3x + 4) + -6 = 0

Reorder the terms:
8ins(4 + 3x) + -6 = 0
(4 * 8ins + 3x * 8ins) + -6 = 0
(32ins + 24insx) + -6 = 0

Reorder the terms:
-6 + 32ins + 24insx = 0

Solving
-6 + 32ins + 24insx = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 32ins + 6 + 24insx = 0 + 6

Reorder the terms:
-6 + 6 + 32ins + 24insx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 32ins + 24insx = 0 + 6
32ins + 24insx = 0 + 6

Combine like terms: 0 + 6 = 6
32ins + 24insx = 6

Reorder the terms:
-6 + 32ins + 24insx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 32ins + 24insx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 16ins + 12insx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + 16ins + 12insx)' equal to zero and attempt to solve:

Simplifying
-3 + 16ins + 12insx = 0

Solving
-3 + 16ins + 12insx = 0

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

Add '3' to each side of the equation.
-3 + 16ins + 3 + 12insx = 0 + 3

Reorder the terms:
-3 + 3 + 16ins + 12insx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 16ins + 12insx = 0 + 3
16ins + 12insx = 0 + 3

Combine like terms: 0 + 3 = 3
16ins + 12insx = 3

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.