3x*x+5x=400x

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
$