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Chapter 7: Q. 7.142 (page 883)

Solve:

w(2w+3)=0

Short Answer

Expert verified

By solving the equation w(2w+3)=0, the value of w is w=0,-32

Step by step solution

01

Step 1. Given Information

An equation:

w(2w+3)=0

02

Step 2. Use the Zero-Product property

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

03

Step 3. Solve the equations

w=0

And

2w+3=02w=-3w=-32

The values of w is w=0,-32

04

Step 4. Check the answer

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

w(2w+3)=00(2(0)+3)=00=0

When w=-32,

-32(2(-32)+3)=0-32(_3+3)=0-32(0)=00=0

Hence the equation is true.

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