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Simplifying x(t) = u(t + 1) + -2u(t + -1) + u(t + -3) Multiply x * t tx = u(t + 1) + -2u(t + -1) + u(t + -3) Reorder the terms: tx = u(1 + t) + -2u(t + -1) + u(t + -3) tx = (1 * u + t * u) + -2u(t + -1) + u(t + -3) Reorder the terms: tx = (tu + 1u) + -2u(t + -1) + u(t + -3) tx = (tu + 1u) + -2u(t + -1) + u(t + -3) Reorder the terms: tx = tu + 1u + -2u(-1 + t) + u(t + -3) tx = tu + 1u + (-1 * -2u + t * -2u) + u(t + -3) Reorder the terms: tx = tu + 1u + (-2tu + 2u) + u(t + -3) tx = tu + 1u + (-2tu + 2u) + u(t + -3) Reorder the terms: tx = tu + 1u + -2tu + 2u + u(-3 + t) tx = tu + 1u + -2tu + 2u + (-3 * u + t * u) Reorder the terms: tx = tu + 1u + -2tu + 2u + (tu + -3u) tx = tu + 1u + -2tu + 2u + (tu + -3u) Reorder the terms: tx = tu + -2tu + tu + 1u + 2u + -3u Combine like terms: tu + -2tu = -1tu tx = -1tu + tu + 1u + 2u + -3u Combine like terms: -1tu + tu = 0 tx = 0 + 1u + 2u + -3u tx = 1u + 2u + -3u Combine like terms: 1u + 2u = 3u tx = 3u + -3u Combine like terms: 3u + -3u = 0 tx = 0 Solving tx = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Simplifying tx = 0 The solution to this equation could not be determined.
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