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6y(4y+3)=0
We multiply parentheses
24y^2+18y=0
a = 24; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·24·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{324}=18$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*24}=\frac{-36}{48} =-3/4 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*24}=\frac{0}{48} =0 $
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