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16=24k^2+8k
We move all terms to the left:
16-(24k^2+8k)=0
We get rid of parentheses
-24k^2-8k+16=0
a = -24; b = -8; c = +16;
Δ = b2-4ac
Δ = -82-4·(-24)·16
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1600}=40$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-40}{2*-24}=\frac{-32}{-48} =2/3 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+40}{2*-24}=\frac{48}{-48} =-1 $
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