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Simplifying u(t + 1) + -1eu(t) = 0 Reorder the terms: u(1 + t) + -1eu(t) = 0 (1 * u + t * u) + -1eu(t) = 0 Reorder the terms: (tu + 1u) + -1eu(t) = 0 (tu + 1u) + -1eu(t) = 0 Multiply eu * t tu + 1u + -1etu = 0 Reorder the terms: -1etu + tu + 1u = 0 Solving -1etu + tu + 1u = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1tu' to each side of the equation. -1etu + tu + -1tu + 1u = 0 + -1tu Combine like terms: tu + -1tu = 0 -1etu + 0 + 1u = 0 + -1tu -1etu + 1u = 0 + -1tu Remove the zero: -1etu + 1u = -1tu Add '-1u' to each side of the equation. -1etu + 1u + -1u = -1tu + -1u Combine like terms: 1u + -1u = 0 -1etu + 0 = -1tu + -1u -1etu = -1tu + -1u Divide each side by '-1tu'. e = 1 + t-1 Simplifying e = 1 + t-1
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