Question

Solve the equation. (Enter your answers as a comma-separated list.)2b2 − 18 = −9b

Answer 1

Given

The equation,

`2b^2-18=-9b`

To solve for b.

Step-by-step explanation:

It is given that,

`2b^2-18=-9b`

That implies,

`\begin{gathered} 2b^2-18=-9b \\ 2b^2+9b-18=0 \\ 2b^2-3b+12b-18=0 \\ b(2b-3)+6(2b-3)=0 \\ (2b-3)(b+6)=0 \\ 2b-3=0,b+6=0 \\ 2b=3,b=-6 \\ b=(3)/(2),b=-6 \end{gathered}`

Hence, the answer is 3/2, -6.