## anonymous 3 years ago Solve this equation. (x-5)(4x+3)=0. Totally went blank. Any Help

1. anonymous

|dw:1355012579897:dw| Can someone help me here...They have went over so many things that I am drawing a blank.

2. anonymous

so since the product of both brackets is 0, we could say (x-5)=0 and (4x+3) =0

3. anonymous

with me so far?

4. anonymous

$(x-5)(4x-3)=0$ This is the original equation. So, either $(x-5)=0$ or $(4x-3)=0$. So, $x=5$ and $4x=3$. Simplify: $x=5$ and $x=\frac{ 4}{ 3 }$. Final answer: $\left\{ 5,\frac{ 4 }{ 3 } \right\}$.

5. anonymous

Sorry, I just noticed it is 4x+3, just do the same thing, but with a negative sign.