=ln(sin(2x+7))

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Solution for =ln(sin(2x+7)) equation: 


Simplifying
0 = ln(sin(2x + 7))

Reorder the terms:
0 = ln(ins(7 + 2x))
0 = ln((7 * ins + 2x * ins))
0 = ln((7ins + 2insx))
0 = (7ins * ln + 2insx * ln)
0 = (7iln2s + 2iln2sx)

Solving
0 = 7iln2s + 2iln2sx

Solving for variable 'i'.

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

Add '-7iln2s' to each side of the equation.
0 + -7iln2s = 7iln2s + -7iln2s + 2iln2sx
Remove the zero:
-7iln2s = 7iln2s + -7iln2s + 2iln2sx

Combine like terms: 7iln2s + -7iln2s = 0
-7iln2s = 0 + 2iln2sx
-7iln2s = 2iln2sx

Add '-2iln2sx' to each side of the equation.
-7iln2s + -2iln2sx = 2iln2sx + -2iln2sx

Combine like terms: 2iln2sx + -2iln2sx = 0
-7iln2s + -2iln2sx = 0

Factor out the Greatest Common Factor (GCF), '-1iln2s'.
-1iln2s(7 + 2x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'iln2s' equal to zero and attempt to solve:

Simplifying
iln2s = 0

Solving
iln2s = 0

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

Simplifying
iln2s = 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 '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Add '-2x' to each side of the equation.
2x + -2x = -7 + -2x

Combine like terms: 2x + -2x = 0
0 = -7 + -2x

Simplifying
0 = -7 + -2x

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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