2.25x^2-9x+9=400000000x^2

Solution for 2.25x^2-9x+9=400000000x^2 equation:

2.25x^2-9x+9=400000000x^2

We move all terms to the left:

2.25x^2-9x+9-(400000000x^2)=0

determiningTheFunctionDomain
2.25x^2-400000000x^2-9x+9=0

We add all the numbers together, and all the variables

-399999997.75x^2-9x+9=0

a = -399999997.75; b = -9; c = +9;
Δ = b2-4ac
Δ = -92-4·(-399999997.75)·9
Δ = 14400000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400000000}=120000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-120000}{2*-399999997.75}=\frac{-119991}{-799999995.5}
=39997/266666665.16667
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+120000}{2*-399999997.75}=\frac{120009}{-799999995.5}
=-40003/266666665.16667
$