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-(x-1)(x+9)=0
We multiply parentheses ..
-(+x^2+9x-1x-9)=0
We get rid of parentheses
-x^2-9x+1x+9=0
We add all the numbers together, and all the variables
-1x^2-8x+9=0
a = -1; b = -8; c = +9;
Δ = b2-4ac
Δ = -82-4·(-1)·9
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{100}=10$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-10}{2*-1}=\frac{-2}{-2} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+10}{2*-1}=\frac{18}{-2} =-9 $
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