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(-4x+11)(-5x+17)=0
We multiply parentheses ..
(+20x^2-68x-55x+187)=0
We get rid of parentheses
20x^2-68x-55x+187=0
We add all the numbers together, and all the variables
20x^2-123x+187=0
a = 20; b = -123; c = +187;
Δ = b2-4ac
Δ = -1232-4·20·187
Δ = 169
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{169}=13$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-123)-13}{2*20}=\frac{110}{40} =2+3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-123)+13}{2*20}=\frac{136}{40} =3+2/5 $
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