Question

3b^2 + b-2 =0 please help solve

Answer 1

\(\bf{3b^2 + b - 2= 0}\)

You can solve this by splitting the middle term , here it is "b" .

I can write b as "3b - 2b" ? , right?

Answer 2

okay

Answer 3

Now , I can write the equation as :

\(\color{blue}{\bf{3b^2 + 3b - 2b - 2 = 0 }}\)

Or : \(\color{purple}{\bf{(3b^2 + 3b)}} \color{orange}{\bf{-2b - 2}} = 0 \)

Answer 4

Now, \(3b^2 + 3b\) can be written as : \(3b(b + 1)\) , right?

Answer 5

oka I am following you because I am not sure how to work

Answer 6

Also, -2b-2 can also be written as : -2(b+1)

So, 3b(b+1) - 2(b+1) = 0

(3b-2)(b+1) = 0

Answer 7

so the answer to the question will be the last thing you wrote correct?

Answer 8

No,

(3b-2) ( b+1) = 0

So, either 3b - 2 = 0 that is b = 2/3

or

b + 1 = 0 , b = -1

So either b = 2/3 or b = -1

Answer 9

so how do I put all of this together?

Answer 10

are you there?

Answer 11

Oh sorry, I was away for some time.

What do you mean by "SO how do i put all of this together?"

Answer 12

I need to know how to put all of the problem that you have work together so that I can see each step to better understand it

Answer 13

Okay I will write it for you :

You're given with : \(3b^2 + b - 2 = 0 \)

"b" can also be written as 3b - 2b

So, the equation becomes :

\(3b^2 + 3b - 2b - 2= 0\)

or : \(3b(b+1) - 2(b+1) =0\)

\((3b-2)(b+1) = 0 \)

Either : 3b - 2 = 0 or b + 1 0

3b - 2 = 0 , b = 2/3

or

b + 1 = 0 , b= -1

So either b = 2/3 or b = -1

Answer 14

Thank you so much

Answer 15

I have another problem is 4x^(3.5) a polynomial and what is the domain range of it I am not algebra smart so I need all the help I can get

Answer 16

You're welcome :)

\(\Huge{\color{purple}{\textbf{W}} \color{orange}{\cal{E}} \color{green}{\mathbb{L}} \color{blue}{\mathsf{C}} \color{maroon}{\rm{O}} \color{red}{\tt{M}} \color{gold}{\tt{E}} \space \color{orchid}{\mathbf{T}} \color{Navy}{\mathsf{O}} \space \color{OrangeRed}{\boldsymbol{O}} \color{Olive}{\mathbf{P}} \color{Lime}{\textbf{E}} \color{DarkOrchid}{\mathsf{N}} \color{Tan}{\mathtt{S}} \color{magenta}{\mathbb{T}} \color{goldenrod}{\mathsf{U}} \color{ForestGreen}{\textbf{D}} \color{Salmon}{\mathsf{Y}} \ddot \smile }\)

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