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(4k+5)(6k+10)=k
We move all terms to the left:
(4k+5)(6k+10)-(k)=0
We add all the numbers together, and all the variables
-1k+(4k+5)(6k+10)=0
We multiply parentheses ..
(+24k^2+40k+30k+50)-1k=0
We get rid of parentheses
24k^2+40k+30k-1k+50=0
We add all the numbers together, and all the variables
24k^2+69k+50=0
a = 24; b = 69; c = +50;
Δ = b2-4ac
Δ = 692-4·24·50
Δ = -39
Delta is less than zero, so there is no solution for the equation
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