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Simplifying x(t) = 2cost + 3cost Multiply x * t tx = 2cost + 3cost Combine like terms: 2cost + 3cost = 5cost tx = 5cost Solving tx = 5cost Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5cost' to each side of the equation. -5cost + tx = 5cost + -5cost Combine like terms: 5cost + -5cost = 0 -5cost + tx = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-5cos + 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 '(-5cos + x)' equal to zero and attempt to solve: Simplifying -5cos + x = 0 Solving -5cos + x = 0 Move all terms containing t to the left, all other terms to the right. Add '5cos' to each side of the equation. -5cos + 5cos + x = 0 + 5cos Combine like terms: -5cos + 5cos = 0 0 + x = 0 + 5cos x = 0 + 5cos Remove the zero: x = 5cos Add '-1x' to each side of the equation. x + -1x = 5cos + -1x Combine like terms: x + -1x = 0 0 = 5cos + -1x Simplifying 0 = 5cos + -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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