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(190x+3)(220x-220)=2925
We move all terms to the left:
(190x+3)(220x-220)-(2925)=0
We multiply parentheses ..
(+41800x^2-41800x+660x-660)-2925=0
We get rid of parentheses
41800x^2-41800x+660x-660-2925=0
We add all the numbers together, and all the variables
41800x^2-41140x-3585=0
a = 41800; b = -41140; c = -3585;
Δ = b2-4ac
Δ = -411402-4·41800·(-3585)
Δ = 2291911600
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2291911600}=\sqrt{400*5729779}=\sqrt{400}*\sqrt{5729779}=20\sqrt{5729779}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-41140)-20\sqrt{5729779}}{2*41800}=\frac{41140-20\sqrt{5729779}}{83600} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41140)+20\sqrt{5729779}}{2*41800}=\frac{41140+20\sqrt{5729779}}{83600} $
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