Chapter 9.4, Problem 16P

Solve by factoring.

$3j^2-20j=-12$

To determine

To calculate: In case the question requires us to solve the equation by factorization

Answer to Problem 16P

The solution of the given equation is $j=\frac{2}{3},6$

Explanation of Solution

Given information: Consider the given equation,

  $3j^2-20j=-12$

Calculation : the solution for the following equation will be,

  $3j^2-20j=-12$

  $3j^2-20j+12=0$

  $3j^2-18j-2j+12=0$

  $3j(j-6)-2(j-6)=0$

  $(j-6)(3j-2)=0$

  $j-6=0$ and $3j-2=0$

  $j=6$ and $3j=2$

  $j=\frac{2}{3},6$

Therefore, the solution of the given equation is $j=\frac{2}{3},6$