Exercise
$6x^2+x-21$
Step-by-step Solution
Learn how to solve completing the square problems step by step online. Factor the expression 6x^2+x+-21. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (6) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{1}{6}x+\frac{1}{144}. Solve the product 6\left(\left(x+\frac{1}{12}\right)^2-\frac{505}{144}\right).
Factor the expression 6x^2+x+-21
Final answer to the exercise
$6\left(x+\frac{1}{12}\right)^2-\frac{505}{24}$