Answer:the equation x^2 + 7x = 0 by factoring: Therefore, the solutions are \boxed{x = 0, x = -7}Step-by-step explanation:1. Factor out the common term: Both terms have an x, so we can factor it out: x(x + 7) = 02. Set each factor to zero: This gives us two equations: x = 0 and x + 7 = 03. Solve for x:- The first equation is already solved: x = 0- For the second equation, subtract 7 from both sides: x = -7