10x2-16050=-50

Solution for 10x2-16050=-50 equation:

10x^2-16050=-50

We move all terms to the left:

10x^2-16050-(-50)=0

We add all the numbers together, and all the variables

10x^2-16000=0

a = 10; b = 0; c = -16000;
Δ = b2-4ac
Δ = 02-4·10·(-16000)
Δ = 640000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{640000}=800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-800}{2*10}=\frac{-800}{20}
=-40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+800}{2*10}=\frac{800}{20}
=40
$