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=0k^2-8k-12=0 k^2+8k+12=0k^2-8+12=0k^2-8k+12=0

Answer: [tex]k^2-8k+12=0[/tex]
Explanation:
1) Given equation:           [tex]k+12/k=8[/tex]
2) Multiplication property of equality:
         [tex]k(k+12/k)=8k[/tex]
3) Distributive property:
         [tex]k^2+12k/k=8k[/tex]
4) Simplification:
         [tex]k^2+12=8k[/tex]
5) Subtraction property of equality:
         [tex]k^2-8k+12=0[/tex]
So, that is the equation that he has to solve.