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800=(x+20)*x
We move all terms to the left:
800-((x+20)*x)=0
We calculate terms in parentheses: -((x+20)*x), so:We get rid of parentheses
(x+20)*x
We multiply parentheses
x^2+20x
Back to the equation:
-(x^2+20x)
-x^2-20x+800=0
We add all the numbers together, and all the variables
-1x^2-20x+800=0
a = -1; b = -20; c = +800;
Δ = b2-4ac
Δ = -202-4·(-1)·800
Δ = 3600
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{3600}=60$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-60}{2*-1}=\frac{-40}{-2} =+20 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+60}{2*-1}=\frac{80}{-2} =-40 $
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