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(A)=-10A^2+1760A-50000
We move all terms to the left:
(A)-(-10A^2+1760A-50000)=0
We get rid of parentheses
10A^2-1760A+A+50000=0
We add all the numbers together, and all the variables
10A^2-1759A+50000=0
a = 10; b = -1759; c = +50000;
Δ = b2-4ac
Δ = -17592-4·10·50000
Δ = 1094081
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1759)-\sqrt{1094081}}{2*10}=\frac{1759-\sqrt{1094081}}{20} $$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1759)+\sqrt{1094081}}{2*10}=\frac{1759+\sqrt{1094081}}{20} $
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