x^2=430x-12000=0

Solution for x^2=430x-12000=0 equation:

x^2=430x-12000=0

We move all terms to the left:

x^2-(430x-12000)=0

We get rid of parentheses

x^2-430x+12000=0

a = 1; b = -430; c = +12000;
Δ = b2-4ac
Δ = -4302-4·1·12000
Δ = 136900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{136900}=370$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-430)-370}{2*1}=\frac{60}{2}
=30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-430)+370}{2*1}=\frac{800}{2}
=400
$