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(40+1x)(200-5x)=0
We add all the numbers together, and all the variables
(x+40)(-5x+200)=0
We multiply parentheses ..
(-5x^2+200x-200x+8000)=0
We get rid of parentheses
-5x^2+200x-200x+8000=0
We add all the numbers together, and all the variables
-5x^2+8000=0
a = -5; b = 0; c = +8000;
Δ = b2-4ac
Δ = 02-4·(-5)·8000
Δ = 160000
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{160000}=400$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400}{2*-5}=\frac{-400}{-10} =+40 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400}{2*-5}=\frac{400}{-10} =-40 $
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