Chapter 11: Q 279 (page 1069)

In the following exercises, solve:
$6 m (12 m - 5) = 0$

Short Answer

Expert verified

The solution is $m = \frac{5}{12}$ .

Step by step solution

Step 1. Given Information

The given expression is $6 m (12 m - 5) = 0$ .

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

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.

$6 m (12 m - 5) = 0 6 m = 0 o r 12 m - 5 = 0$

Step 3. Solve the linear equations

The equation we get are

$6 m = 0 12 m - 5 = 0$

Therefore,

localid="1661928752428" $6 m = 0 m = \frac{0}{6} m = 0$ or $12 m - 5 = 0 m = \frac{5}{12}$

Step 4. Verify the answer

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

If $m = \frac{5}{12}$

$6 (\frac{5}{12}) [12 (\frac{5}{12}) - 5] = 0 \frac{5}{2} [5 - 5] = 0 0 = 0$

Therefore, the solution is right.

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In the following exercises, solve:
$6 m (12 m - 5) = 0$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the Zero Product Property

Step 3. Solve the linear equations

Step 4. Verify the answer

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In the following exercises, solve:6m(12m−5)=0

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the Zero Product Property

Step 3. Solve the linear equations

Step 4. Verify the answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Applied Mathematics

Logic and Functions

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve:
$6 m (12 m - 5) = 0$