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Chapter 7: Q. 7.140 (page 882)

Solve:4p+34p-3=0.

Short Answer

Expert verified

The solutions are p=-34orp=34.

Step by step solution

01

Step 1. Given Information  

The given equation is4p+34p-3=0.

We have to solve it.

02

Step 2. Use the zero product property

To solve the equation, we will use the Zero Product Property to set

each factor to zero.

4p+34p-3=04p+3=04p-3=0

03

Step 3. Solve the equations

Let's solve each equation

4p+3=0or4p-3=04p=-3or4p=3p=-34orp=34

04

Step 4. Check the answer

To check the answer substitute values of minto the original equation.

When p=-34

4p+34p-3=04-34+34-34-3=0-3+3-3-3=00-6=00=0

It is true.

When m=34

4p+34p-3=0434+3434-3=03+33-3=060=00=0

It is true.

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