F(t)=sin(2t)

Solution for F(t)=sin(2t) equation:

Simplifying
F(t) = sin(2t)

Multiply F * t
tF = sin(2t)

Remove parenthesis around (2t)
tF = ins * 2t

Reorder the terms for easier multiplication:
tF = 2ins * t

Multiply ins * t
tF = 2inst

Solving
tF = 2inst

Solving for variable 't'.

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

Add '-2inst' to each side of the equation.
-2inst + tF = 2inst + -2inst

Combine like terms: 2inst + -2inst = 0
-2inst + tF = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-2ins + F) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(-2ins + F)' equal to zero and attempt to solve:

Simplifying
-2ins + F = 0

Reorder the terms:
F + -2ins = 0

Solving
F + -2ins = 0

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

Add '-1F' to each side of the equation.
F + -1F + -2ins = 0 + -1F

Combine like terms: F + -1F = 0
0 + -2ins = 0 + -1F
-2ins = 0 + -1F
Remove the zero:
-2ins = -1F

Add '2ins' to each side of the equation.
-2ins + 2ins = -1F + 2ins

Combine like terms: -2ins + 2ins = 0
0 = -1F + 2ins

Simplifying
0 = -1F + 2ins

The solution to this equation could not be determined.

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