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56k+75.908k=6k*554k
We move all terms to the left:
56k+75.908k-(6k*554k)=0
We add all the numbers together, and all the variables
56k+75.908k-(+6k*554k)=0
We add all the numbers together, and all the variables
131.908k-(+6k*554k)=0
We get rid of parentheses
131.908k-6k*554k=0
Wy multiply elements
-3324k^2+131.908k=0
a = -3324; b = 131.908; c = 0;
Δ = b2-4ac
Δ = 131.9082-4·(-3324)·0
Δ = 17399.720464
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}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(131.908)-\sqrt{17399.720464}}{2*-3324}=\frac{-131.908-\sqrt{17399.720464}}{-6648} $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(131.908)+\sqrt{17399.720464}}{2*-3324}=\frac{-131.908+\sqrt{17399.720464}}{-6648} $
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