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-5(y-9)(-y-1)=0
We add all the numbers together, and all the variables
-5(y-9)(-1y-1)=0
We multiply parentheses ..
-5(-1y^2-1y+9y+9)=0
We multiply parentheses
5y^2+5y-45y-45=0
We add all the numbers together, and all the variables
5y^2-40y-45=0
a = 5; b = -40; c = -45;
Δ = b2-4ac
Δ = -402-4·5·(-45)
Δ = 2500
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{2500}=50$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-50}{2*5}=\frac{-10}{10} =-1 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+50}{2*5}=\frac{90}{10} =9 $
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