2x^2+40000=6x^2

Solution for 2x^2+40000=6x^2 equation:

2x^2+40000=6x^2

We move all terms to the left:

2x^2+40000-(6x^2)=0

We add all the numbers together, and all the variables

-4x^2+40000=0

a = -4; b = 0; c = +40000;
Δ = b2-4ac
Δ = 02-4·(-4)·40000
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*-4}=\frac{-800}{-8}
=+100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+800}{2*-4}=\frac{800}{-8}
=-100
$