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x*5x=21612x=
We move all terms to the left:
x*5x-(21612x)=0
We add all the numbers together, and all the variables
-21612x+x*5x=0
Wy multiply elements
5x^2-21612x=0
a = 5; b = -21612; c = 0;
Δ = b2-4ac
Δ = -216122-4·5·0
Δ = 467078544
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{467078544}=21612$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21612)-21612}{2*5}=\frac{0}{10} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21612)+21612}{2*5}=\frac{43224}{10} =4322+2/5 $
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