Chapter 12, Problem 57CLR

To determine

To find: The simplification of the given equation.

Answer to Problem 57CLR

The simplification of the given equation is $b=\frac{-1}{4},\frac{-2}{3}$

Explanation of Solution

Given,

The given equation is,

  $12b^2+5b=2$

Calculation:

Solve the given equation.

  $\begin{array}{l}12b^2+5b=2\\ 12b^2+5b-2=0\end{array}$

Separate the middle term.

  $\begin{array}{l}12b^2+8b-3b-2=0\\ 4b\left(3b+2\right)-1\left(3b+2\right)=0\\ \left(4b-1\right)\left(3b+2\right)=0\\ b=\frac{-1}{4},\frac{-2}{3}\end{array}$

Thus, the simplification the given equation is $b=\frac{-1}{4},\frac{-2}{3}$