Final answer to the problem
$x<-2$
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Step-by-step Solution
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1
Factor the polynomial $x^2+11x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $11$
$x^2+11x+\frac{121}{4}- \frac{121}{4}<-18$
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$x^2+11x+\frac{121}{4}- \frac{121}{4}<-18$
Learn how to solve problems step by step online. Solve the inequality x^2+11x<-18. Factor the polynomial x^2+11x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 11. Now, we can factor x^2+11x+\frac{121}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Multiply the fraction and term in - \frac{121}{4}. Moving the term -\frac{121}{4} to the other side of the inequation with opposite sign.
Final answer to the problem
$x<-2$
