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$2x^2+5x-100=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2x^2+5x=100. Rewrite the equation. 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}xx+\frac{25}{16}.