sin(16x)+sin(11x+5)=0

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Solution for sin(16x)+sin(11x+5)=0 equation:


Simplifying
sin(16x) + sin(11x + 5) = 0

Remove parenthesis around (16x)
ins * 16x + sin(11x + 5) = 0

Reorder the terms for easier multiplication:
16ins * x + sin(11x + 5) = 0

Multiply ins * x
16insx + sin(11x + 5) = 0

Reorder the terms:
16insx + ins(5 + 11x) = 0
16insx + (5 * ins + 11x * ins) = 0
16insx + (5ins + 11insx) = 0

Reorder the terms:
5ins + 16insx + 11insx = 0

Combine like terms: 16insx + 11insx = 27insx
5ins + 27insx = 0

Solving
5ins + 27insx = 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), 'ins'.
ins(5 + 27x) = 0

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 '(5 + 27x)' equal to zero and attempt to solve: Simplifying 5 + 27x = 0 Solving 5 + 27x = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 27x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 27x = 0 + -5 27x = 0 + -5 Combine like terms: 0 + -5 = -5 27x = -5 Add '-27x' to each side of the equation. 27x + -27x = -5 + -27x Combine like terms: 27x + -27x = 0 0 = -5 + -27x Simplifying 0 = -5 + -27x 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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