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(X+9)(5X-1)=0
We multiply parentheses ..
(+5X^2-1X+45X-9)=0
We get rid of parentheses
5X^2-1X+45X-9=0
We add all the numbers together, and all the variables
5X^2+44X-9=0
a = 5; b = 44; c = -9;
Δ = b2-4ac
Δ = 442-4·5·(-9)
Δ = 2116
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{2116}=46$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-46}{2*5}=\frac{-90}{10} =-9 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+46}{2*5}=\frac{2}{10} =1/5 $
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