778000x=x*x

Solution for 778000x=x*x equation:

778000x=x*x

We move all terms to the left:

778000x-(x*x)=0

We add all the numbers together, and all the variables

778000x-(+x*x)=0

We get rid of parentheses

778000x-x*x=0

Wy multiply elements

-1x^2+778000x=0

a = -1; b = 778000; c = 0;
Δ = b2-4ac
Δ = 7780002-4·(-1)·0
Δ = 605284000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{605284000000}=778000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(778000)-778000}{2*-1}=\frac{-1556000}{-2}
=+778000
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(778000)+778000}{2*-1}=\frac{0}{-2}
=0
$