sin(x+4)+sin(5x+4)=0

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Solution for sin(x+4)+sin(5x+4)=0 equation: 


Simplifying
sin(x + 4) + sin(5x + 4) = 0

Reorder the terms:
ins(4 + x) + sin(5x + 4) = 0
(4 * ins + x * ins) + sin(5x + 4) = 0
(4ins + insx) + sin(5x + 4) = 0

Reorder the terms:
4ins + insx + ins(4 + 5x) = 0
4ins + insx + (4 * ins + 5x * ins) = 0
4ins + insx + (4ins + 5insx) = 0

Reorder the terms:
4ins + 4ins + insx + 5insx = 0

Combine like terms: 4ins + 4ins = 8ins
8ins + insx + 5insx = 0

Combine like terms: insx + 5insx = 6insx
8ins + 6insx = 0

Solving
8ins + 6insx = 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), '2ins'.
2ins(4 + 3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve:

Simplifying
ins = 0

Solving
ins = 0

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

Simplifying
ins = 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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

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

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

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

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

Simplifying
0 = -4 + -3x

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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