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375x=75x+5x^2
We move all terms to the left:
375x-(75x+5x^2)=0
We get rid of parentheses
-5x^2-75x+375x=0
We add all the numbers together, and all the variables
-5x^2+300x=0
a = -5; b = 300; c = 0;
Δ = b2-4ac
Δ = 3002-4·(-5)·0
Δ = 90000
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{90000}=300$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(300)-300}{2*-5}=\frac{-600}{-10} =+60 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(300)+300}{2*-5}=\frac{0}{-10} =0 $
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