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Chapter 7: Q. 7.139 (page 882)

Solve: (3m鈭�2)(2m+1)=0.

Short Answer

Expert verified

The solutions are m=23orm=-12.

Step by step solution

01

Step 1. Given Information  

The given equation is3m-22m+1=0.

We have to solve it.

02

Step 2. Use the zero product property

To solve the equation, we will use the Zero Product Property to set

each factor to zero.

3m-22m+1=03m-2=02m+1=0

03

Step 3. Solve the equations

Let's solve each equation

3m-2=0or2m+1=03m=2or2m=-1m=23orm=-12

04

Step 4. Check the answer

To check the answer substitute values of minto the original equation.

When m=23

3m-22m+1=0323-2223+1=0043+1=00=0

It is true.

When m=-12

3m-22m+1=03-12-22-12+1=0-32-2-1+1=0-32-20=00=0

It is true.

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