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Chapter 5: Problem 5

Solve. $$(x+5)(x+2)=0$$

Short Answer

Expert verified
The roots of the equation are \(x=-5\) and \(x=-2\).

Step by step solution

01

Apply the Zero-Product Property

Set each factor equal to zero, that is, \(x+5=0\) and \(x+2=0\)
02

Solve each equation

Solving each equation will give the values of \(x\), thus for \(x+5=0\), we subtract 5 from both sides to get \(x=-5\). For \(x+2=0\), we subtract 2 from both sides to get \(x=-2\). These are the roots of the equation.

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