Question

Solve$(4p+3)(4p-3)=0$

Short answer

The value is$p=\frac{-3}{4},\frac{3}{4}$

Step-by-step solution

Given information

Given the equation$(4p+3)(4p-3)=0$

Using zero factor property

Using the zero factor property, we have

$$\begin{gathered} (4p+3)(4p-3)=0 \\ 4p+3=0 \\ 4p-3=0 \\ p=\frac{-3}{4},\frac{3}{4} \end{gathered}$$

Checking the value

Substituting and checking the value, we get

$$\begin{gathered} (4p+3)(4p-3)=0 \\ (4\times \frac{-3}{4}+3)(4\times \frac{-3}{4}-3)=0 \\ 0=0 \end{gathered}$$

This is true

Checking the value

Substituting and checking the value, we get

$$\begin{gathered} (4p+3)(4p-3)=0 \\ (4\times \frac{3}{4})(4\times \frac{3}{4}-3)=0 \\ 0=0 \end{gathered}$$

This is true