F(x)=sin(6x)

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Solution for F(x)=sin(6x) equation: 


Simplifying
F(x) = sin(6x)

Multiply F * x
xF = sin(6x)

Remove parenthesis around (6x)
xF = ins * 6x

Reorder the terms for easier multiplication:
xF = 6ins * x

Multiply ins * x
xF = 6insx

Solving
xF = 6insx

Solving for variable 'x'.

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

Add '-6insx' to each side of the equation.
-6insx + xF = 6insx + -6insx

Combine like terms: 6insx + -6insx = 0
-6insx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6ins + F) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-6ins + F)' equal to zero and attempt to solve:

Simplifying
-6ins + F = 0

Reorder the terms:
F + -6ins = 0

Solving
F + -6ins = 0

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

Add '-1F' to each side of the equation.
F + -1F + -6ins = 0 + -1F

Combine like terms: F + -1F = 0
0 + -6ins = 0 + -1F
-6ins = 0 + -1F
Remove the zero:
-6ins = -1F

Add '6ins' to each side of the equation.
-6ins + 6ins = -1F + 6ins

Combine like terms: -6ins + 6ins = 0
0 = -1F + 6ins

Simplifying
0 = -1F + 6ins

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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