Chapter 7: Q. 7.142 (page 883)

Solve:
$w (2 w + 3) = 0$

Short Answer

Expert verified

By solving the equation $w (2 w + 3) = 0$ , the value of w is $w = 0, - \frac{3}{2}$

Step by step solution

Step 1. Given Information

An equation:

$w (2 w + 3) = 0$

Step 2. Use the Zero-Product property

Use the Zero Product Property to set each factor to zero.
$w = 0; 2 w + 3 = 0$

Step 3. Solve the equations

$w = 0$

And

$2 w + 3 = 0 2 w = - 3 w = - \frac{3}{2}$

The values of w is $w = 0, - \frac{3}{2}$

Step 4. Check the answer

Check by substituting the values in the original equation,
When $w = 0$ ,

$w (2 w + 3) = 0 0 (2 (0) + 3) = 0 0 = 0$

When $w = - \frac{3}{2}$ ,

$- \frac{3}{2} (2 (\frac{- 3}{2}) + 3) = 0 - \frac{3}{2} (_3 + 3) = 0 \frac{- 3}{2} (0) = 0 0 = 0$

Hence the equation is true.

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Solve:
$w (2 w + 3) = 0$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the Zero-Product property

Step 3. Solve the equations

Step 4. Check the answer

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Solve:w(2w+3)=0

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Use the Zero-Product property

Step 3. Solve the equations

Step 4. Check the answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Calculus

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve:
$w (2 w + 3) = 0$