Exercise
$x-5\left\{\right\}x^2-25$
Step-by-step Solution
Learn how to solve completing the square problems step by step online. Factor the expression x-5x^2+-25. 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+5-\frac{1}{100}.
Factor the expression x-5x^2+-25
Final answer to the exercise
$-5\left(x-\frac{1}{10}\right)^2-\frac{499}{20}$