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2x(100-2x)=0
We add all the numbers together, and all the variables
2x(-2x+100)=0
We multiply parentheses
-4x^2+200x=0
a = -4; b = 200; c = 0;
Δ = b2-4ac
Δ = 2002-4·(-4)·0
Δ = 40000
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{40000}=200$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(200)-200}{2*-4}=\frac{-400}{-8} =+50 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(200)+200}{2*-4}=\frac{0}{-8} =0 $
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