F(x)=sin(5x)

Solution for F(x)=sin(5x) equation:

Simplifying
F(x) = sin(5x)

Multiply F * x
xF = sin(5x)

Remove parenthesis around (5x)
xF = ins * 5x

Reorder the terms for easier multiplication:
xF = 5ins * x

Multiply ins * x
xF = 5insx

Solving
xF = 5insx

Solving for variable 'x'.

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

Add '-5insx' to each side of the equation.
-5insx + xF = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
-5insx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5ins + 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 '(-5ins + F)' equal to zero and attempt to solve:

Simplifying
-5ins + F = 0

Reorder the terms:
F + -5ins = 0

Solving
F + -5ins = 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 + -5ins = 0 + -1F

Combine like terms: F + -1F = 0
0 + -5ins = 0 + -1F
-5ins = 0 + -1F
Remove the zero:
-5ins = -1F

Add '5ins' to each side of the equation.
-5ins + 5ins = -1F + 5ins

Combine like terms: -5ins + 5ins = 0
0 = -1F + 5ins

Simplifying
0 = -1F + 5ins

The solution to this equation could not be determined.

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