solving quadratic equation by factoring 5x^2-25x=0 will result in 5 and 0Factor out the common termBoth terms on the left side have a common factor of 5x:5x(x - 5) = 0Set each factor equal to zero5x = 0x - 5 = 0Solve each equationFrom 5x = 0 x = 0From x - 5 = 0 x = 5Therefore, The Final Answer is:x = 0 and x = 5