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Chapter 6: Q. 424 (page 636)

Use the Zero Product Property in following exercises, solve.

6m(12m-5)=0.

Short Answer

Expert verified

The solutions of the given expression arem=0and512.

Step by step solution

01

Step 1. Given and explanation. 

We have 6m(12m-5)=0.

We know that the zero product property states that ifa脳b=0,

then either of the factors, both are equal to zero.

So putting them equal to zero will give us the values.

02

Step 2. Evaluating the values. 

We have 6m(12m-5)=0.

Putting them equal to zero gives us,

  1. 6m=0m=0
  2. 12m-5=012m=5m=512

This shows that values are0and512.

03

Step 3. Check the solution.

We will check the solution by putting the value of the solution in the equation separately. If the equation satisfies, our answer is right.

  1. When m=0
    6(0)12(0)-5=0(0)(0-5)=00=0
    Hence satisfied.
  2. When m=512
    6(512)(12脳512)-5=0(52)(5-5)=0(52)(0)=00=0
    Hence satisfied.

Thus our calculations are right.

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