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4k(k+9)=0
We multiply parentheses
4k^2+36k=0
a = 4; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·4·0
Δ = 1296
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{1296}=36$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-36}{2*4}=\frac{-72}{8} =-9 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*4}=\frac{0}{8} =0 $
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