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20x+(4-x)*28x=4*20
We move all terms to the left:
20x+(4-x)*28x-(4*20)=0
We add all the numbers together, and all the variables
20x+(-1x+4)*28x-80=0
We multiply parentheses
-28x^2+20x+112x-80=0
We add all the numbers together, and all the variables
-28x^2+132x-80=0
a = -28; b = 132; c = -80;
Δ = b2-4ac
Δ = 1322-4·(-28)·(-80)
Δ = 8464
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{8464}=92$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(132)-92}{2*-28}=\frac{-224}{-56} =+4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(132)+92}{2*-28}=\frac{-40}{-56} =5/7 $
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