Exercise
$x^2+16x=16$
Step-by-step Solution
Learn how to solve polynomial factorization problems step by step online. Solve the quadratic equation x^2+16x=16. Factor the polynomial x^2+16x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 16. Now, we can factor x^2+16x+64 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -64 from both sides of the equation. Canceling terms on both sides.
Solve the quadratic equation x^2+16x=16
Final answer to the exercise
$x=-8+\sqrt{80},\:x=-8-\sqrt{80}$