=sin(ln(2x+3))

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Solution for =sin(ln(2x+3)) equation:


Simplifying
0 = sin(ln(2x + 3))

Reorder the terms:
0 = ins(ln(3 + 2x))
0 = ins((3 * ln + 2x * ln))
0 = ins((3ln + 2lnx))
0 = (3ln * ins + 2lnx * ins)
0 = (3iln2s + 2iln2sx)

Solving
0 = 3iln2s + 2iln2sx

Solving for variable 'i'.

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

Add '-3iln2s' to each side of the equation.
0 + -3iln2s = 3iln2s + -3iln2s + 2iln2sx
Remove the zero:
-3iln2s = 3iln2s + -3iln2s + 2iln2sx

Combine like terms: 3iln2s + -3iln2s = 0
-3iln2s = 0 + 2iln2sx
-3iln2s = 2iln2sx

Add '-2iln2sx' to each side of the equation.
-3iln2s + -2iln2sx = 2iln2sx + -2iln2sx

Combine like terms: 2iln2sx + -2iln2sx = 0
-3iln2s + -2iln2sx = 0

Factor out the Greatest Common Factor (GCF), '-1iln2s'.
-1iln2s(3 + 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Add '-2x' to each side of the equation. 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 0 = -3 + -2x Simplifying 0 = -3 + -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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