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Divide $-7$ by $2$
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$x^2-\frac{7}{2}x<-\frac{3}{2}$
Learn how to solve inequalities problems step by step online. Solve the inequality x^2+-7/2x<-3/2. Divide -7 by 2. Divide -3 by 2. Factor the polynomial x^2-\frac{7}{2}x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -\frac{7}{2}. Now, we can factor x^2+-\frac{7}{2}x+\frac{49}{16} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.