Exercise
$x^{2\:}+6x=7$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the quadratic equation x^2+6x=7. 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. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -9 from both sides of the equation. Canceling terms on both sides.
Solve the quadratic equation x^2+6x=7
Final answer to the exercise
$x=1,\:x=-7$