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-71/5x-81/5x.x=3/8
We move all terms to the left:
-71/5x-81/5x.x-(3/8)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x.x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-71/5x-81/5x.x-(+3/8)=0
We get rid of parentheses
-71/5x-81/5x.x-3/8=0
We calculate fractions
(-375x^2)/200x^2+(-2840x)/200x^2+(-25920x)/200x^2=0
We multiply all the terms by the denominator
(-375x^2)+(-2840x)+(-25920x)=0
We get rid of parentheses
-375x^2-2840x-25920x=0
We add all the numbers together, and all the variables
-375x^2-28760x=0
a = -375; b = -28760; c = 0;
Δ = b2-4ac
Δ = -287602-4·(-375)·0
Δ = 827137600
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{827137600}=28760$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28760)-28760}{2*-375}=\frac{0}{-750} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28760)+28760}{2*-375}=\frac{57520}{-750} =-76+52/75 $
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