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Chapter 11: Q 279 (page 1069)

In the following exercises, solve:

6m(12m鈭�5)=0

Short Answer

Expert verified

The solution ism=512.

Step by step solution

01

Step 1. Given Information 

The given expression is6m(12m-5)=0.

We have to solve the expression by using the Zero Product Property.

02

Step 2. Use the Zero Product Property 

If the product equals zero then at least one factor must equal zero.

So, we will put each factor equal to zero.

6m(12m-5)=06m=0or12m-5=0

03

Step 3. Solve the linear equations  

The equation we get are

6m=012m-5=0

Therefore,

localid="1661928752428" 6m=0m=06m=0 or 12m-5=0m=512

04

Step 4. Verify the answer

To verify the answer we will substitute the solution into the original equation.

If m=512

6(512)[12(512)-5]=052[5-5]=00=0

Therefore, the solution is right.

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