# Chapter 5 - Polynomials and Factoring - Review Exercises: Chapter 5 - Page 370: 50

$$x=-1,\:x=\frac{5}{2}$$

#### Work Step by Step

We set the equation equal to zero and solve to find the x-intercepts: $$0= 2x^2-3x-5 \\ 0=2x\left(x+1\right)-5\left(x+1\right) \\ 0=\left(x+1\right)\left(2x-5\right) \\ x=-1,\:x=\frac{5}{2}$$

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