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-6k^2+8k+6k^2+60=4k+8k-4k^2+10k
We move all terms to the left:
-6k^2+8k+6k^2+60-(4k+8k-4k^2+10k)=0
We add all the numbers together, and all the variables
-(4k+8k-4k^2+10k)+8k+60=0
We get rid of parentheses
4k^2-4k-8k-10k+8k+60=0
We add all the numbers together, and all the variables
4k^2-14k+60=0
a = 4; b = -14; c = +60;
Δ = b2-4ac
Δ = -142-4·4·60
Δ = -764
Delta is less than zero, so there is no solution for the equation
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