Exercise
$x\left(x+6\right)\ge0$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Solve the inequality x(x+6)>=0. Multiply the single term x by each term of the polynomial \left(x+6\right). When multiplying two powers that have the same base (x), you can add the exponents. Factor the polynomial x^2+6x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 6. Now, we can factor x^2+6x+9 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.
Solve the inequality x(x+6)>=0
Final answer to the exercise
$x\geq 0$