4x+9=36x^2+36x+9

Solution for 4x+9=36x^2+36x+9 equation:

4x+9=36x^2+36x+9

We move all terms to the left:

4x+9-(36x^2+36x+9)=0

We get rid of parentheses

-36x^2+4x-36x-9+9=0

We add all the numbers together, and all the variables

-36x^2-32x=0

a = -36; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·(-36)·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*-36}=\frac{0}{-72}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*-36}=\frac{64}{-72}
=-8/9
$