x(t)=3sin(2*3.14159*t)

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Solution for x(t)=3sin(2*3.14159*t) equation: 


Simplifying
x(t) = 3sin(2 * 3.14159t)

Multiply x * t
tx = 3sin(2 * 3.14159t)

Multiply 2 * 3.14159
tx = 3ins(6.28318t)

Remove parenthesis around (6.28318t)
tx = 3ins * 6.28318t

Reorder the terms for easier multiplication:
tx = 3 * 6.28318ins * t

Multiply 3 * 6.28318
tx = 18.84954ins * t

Multiply ins * t
tx = 18.84954inst

Solving
tx = 18.84954inst

Solving for variable 't'.

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

Add '-18.84954inst' to each side of the equation.
-18.84954inst + tx = 18.84954inst + -18.84954inst

Combine like terms: 18.84954inst + -18.84954inst = 0.00000
-18.84954inst + tx = 0.00000

Factor out the Greatest Common Factor (GCF), 't'.
t(-18.84954ins + x) = 0.00000


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 '(-18.84954ins + x)' equal to zero and attempt to solve:

Simplifying
-18.84954ins + x = 0

Solving
-18.84954ins + x = 0

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

Add '18.84954ins' to each side of the equation.
-18.84954ins + 18.84954ins + x = 0 + 18.84954ins

Combine like terms: -18.84954ins + 18.84954ins = 0.00000
0.00000 + x = 0 + 18.84954ins
x = 0 + 18.84954ins
Remove the zero:
x = 18.84954ins

Add '-1x' to each side of the equation.
x + -1x = 18.84954ins + -1x

Combine like terms: x + -1x = 0
0 = 18.84954ins + -1x

Simplifying
0 = 18.84954ins + -1x

The solution to this equation could not be determined.

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

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