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

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


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

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

Multiply ip * t
tx = 3ins(2ipt)

Remove parenthesis around (2ipt)
tx = 3ins * 2ipt

Reorder the terms for easier multiplication:
tx = 3 * 2ins * ipt

Multiply 3 * 2
tx = 6ins * ipt

Multiply ins * ipt
tx = 6i2npst

Solving
tx = 6i2npst

Solving for variable 't'.

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

Add '-6i2npst' to each side of the equation.
-6i2npst + tx = 6i2npst + -6i2npst

Combine like terms: 6i2npst + -6i2npst = 0
-6i2npst + tx = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-6i2nps + x) = 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 '(-6i2nps + x)' equal to zero and attempt to solve: Simplifying -6i2nps + x = 0 Solving -6i2nps + x = 0 Move all terms containing t to the left, all other terms to the right. Add '6i2nps' to each side of the equation. -6i2nps + 6i2nps + x = 0 + 6i2nps Combine like terms: -6i2nps + 6i2nps = 0 0 + x = 0 + 6i2nps x = 0 + 6i2nps Remove the zero: x = 6i2nps Add '-1x' to each side of the equation. x + -1x = 6i2nps + -1x Combine like terms: x + -1x = 0 0 = 6i2nps + -1x Simplifying 0 = 6i2nps + -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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