Exercise
$5x^2+x-30$
Step-by-step Solution
Learn how to solve problems step by step online. Factor the expression 5x^2+x+-30. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (5) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{1}{5}x+\frac{1}{100}. Simplify the addition \left(x+\frac{1}{10}\right)^2-6-\frac{1}{100}.
Factor the expression 5x^2+x+-30
Final answer to the exercise
$5\left(x+\frac{1}{10}\right)^2-\frac{601}{20}$