Chapter 9.4, Problem 38PPS

To determine

Find the solutions.

Answer to Problem 38PPS

  $c=-1$ or $c=\frac{1}{8}$

Explanation of Solution

Given Information: $8c^2+7c=1$

Formula Used : Factorization Method

Calculation:

  $8c^2+7c=1$

So,

  $8c^2+7c-1=0$

Now, by factorization method

  $8c^2+8c-c-1=0$

So, simplify

  $8c\left(c+1\right)-1\left(c+1\right)=0$

Now,

  $\left(c+1\right)(8c-1)=0$

Now, compare equation with respect to 0.

  $\left(c+1\right)=0$ or $(8c-1)=0$

Hence,

  $c=-1$ or $c=\frac{1}{8}$