x(t)=u(t+1)-2u(t-1)+u(t-3)

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Solution for x(t)=u(t+1)-2u(t-1)+u(t-3) equation:


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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