Question

Kent multiplies both sides of the equation below by an expression. k+12/k=8 Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?
k^2-8k-12=0

k^2+8k+12=0

k^2-8k-12=0

k^2+8k+12=0

k^2-8+12=0

k^2-8k+12=0

Answer 1

Answer: $k^2-8k+12=0$

Explanation:

1) Given equation:

          $k+12/k=8$

2) Multiplication property of equality:

         $k(k+12/k)=8k$

3) Distributive property:

         $k^2+12k/k=8k$

4) Simplification:

         $k^2+12=8k$

5) Subtraction property of equality:

         $k^2-8k+12=0$

So, that is the equation that he has to solve.

Answer 2

k+12/k=8
Multiply k to remove the k in one side
(k+12/k=8) (k)
Therefore, 
k^2+12k-8k=0

Thus,
The equations he must solved now is k^2-8+12=0