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480=x*5x+x/2
We move all terms to the left:
480-(x*5x+x/2)=0
We add all the numbers together, and all the variables
-(+x*5x+x/2)+480=0
We get rid of parentheses
-x*5x-x/2+480=0
We multiply all the terms by the denominator
-(x*5x)*2-x+480*2=0
We add all the numbers together, and all the variables
-(+x*5x)*2-x+480*2=0
We add all the numbers together, and all the variables
-1x-(+x*5x)*2+960=0
We multiply parentheses
-10x^2-1x+960=0
a = -10; b = -1; c = +960;
Δ = b2-4ac
Δ = -12-4·(-10)·960
Δ = 38401
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{38401}}{2*-10}=\frac{1-\sqrt{38401}}{-20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{38401}}{2*-10}=\frac{1+\sqrt{38401}}{-20} $
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