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Moving the term $14$ to the other side of the inequation with opposite sign
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$x^2-9x<0-14$
Learn how to solve problems step by step online. Solve the inequality x^2-9x+14<0. Moving the term 14 to the other side of the inequation with opposite sign. Subtract the values 0 and -14. Factor the polynomial x^2-9x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -9. Now, we can factor x^2+-9x+\frac{81}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.