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Factor the polynomial $x^2+5x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $5$
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$x^2+5x+\frac{25}{4}-\frac{25}{4}=25$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+5x=25. Factor the polynomial x^2+5x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 5. Now, we can factor x^2+5x+\frac{25}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. The square root of \frac{25}{4} is . We need to isolate the dependent variable , we can do that by simultaneously subtracting -\frac{25}{4} from both sides of the equation.