3x*x+5x=400x

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Solution for 3x*x+5x=400x equation:



3x*x+5x=400x
We move all terms to the left:
3x*x+5x-(400x)=0
We add all the numbers together, and all the variables
-395x+3x*x=0
Wy multiply elements
3x^2-395x=0
a = 3; b = -395; c = 0;
Δ = b2-4ac
Δ = -3952-4·3·0
Δ = 156025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{156025}=395$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-395)-395}{2*3}=\frac{0}{6} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-395)+395}{2*3}=\frac{790}{6} =131+2/3 $

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