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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) = 0Subproblem 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 = 0Subproblem 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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