Learn how to solve problems step by step online. Solve the inequality x(x-5)<=0. Multiply the single term x by each term of the polynomial \left(x-5\right). When multiplying two powers that have the same base (x), you can add the exponents. Factor the polynomial x^2-5x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -5. Now, we can factor x^2+-5x+\frac{25}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.

Solve the inequality x(x-5)<=0