Final answer to the problem
$2\left(x-\frac{5}{4}\right)^2-\frac{105}{8}$
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Step-by-step Solution
Learn how to solve completing the square problems step by step online. Factor the expression 2x^2-5x+-10. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{5}{2}x+\frac{25}{16}. Simplify the addition \left(x- \frac{5}{4}\right)^2-5-\frac{25}{16}.
Final answer to the problem
$2\left(x-\frac{5}{4}\right)^2-\frac{105}{8}$
