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8m(9m+5)=0
We multiply parentheses
72m^2+40m=0
a = 72; b = 40; c = 0;
Δ = b2-4ac
Δ = 402-4·72·0
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1600}=40$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-40}{2*72}=\frac{-80}{144} =-5/9 $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+40}{2*72}=\frac{0}{144} =0 $
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