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Factor the polynomial $x^2-23x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-23$
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$x^2-23x+\frac{529}{4}-\frac{529}{4}=45$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-23x=45. Factor the polynomial x^2-23x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -23. Now, we can factor x^2+-23x+\frac{529}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. The square root of \frac{529}{4} is . Multiply -1 times \frac{23}{2}.