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-9y(6-3y)=0
We add all the numbers together, and all the variables
-9y(-3y+6)=0
We multiply parentheses
27y^2-54y=0
a = 27; b = -54; c = 0;
Δ = b2-4ac
Δ = -542-4·27·0
Δ = 2916
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{2916}=54$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-54}{2*27}=\frac{0}{54} =0 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+54}{2*27}=\frac{108}{54} =2 $
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