(14-2x)* -144х'

Could you clarify what you want to do with this expression? It’s a bit ambiguous without the task. Here are a few common interpretations and results: - Simplify - -144 x' (14 − 2x) = 288 (x − 7) x' - View as a time derivative (x = x(t)) - -144 (14 − 2x) x' = d/dt [36 (14 − 2x)^2] - Since d/dt [36 (14 − 2x)^2] = -144 (14 − 2x) x' - Integrate with respect to t - ∫ -144 (14 − 2x) x' dt = 36 (14 − 2x)^2 + C - (Equivalently, treating dx = x' dt, ∫ -144 (14 − 2x) dx = -144 (14x − x^2) + C, which differs by a constant from the previous form.) - Solve a differential equation if you mean -144 (14 − 2x) x' = 0 - Solutions: x'(t) = 0 or 14 − 2x = 0 - This gives x(t) = constant (any constant), and in particular x ≡ 7 is included. If you can tell me which of these matches your problem (or provide the exact task statement), I’ll give a full, step-by-step solution aligned to that.