36x-(2x*x)=-11

Solution for 36x-(2x*x)=-11 equation:

36x-(2x*x)=-11

We move all terms to the left:

36x-(2x*x)-(-11)=0

We add all the numbers together, and all the variables

36x-(+2x*x)-(-11)=0

We add all the numbers together, and all the variables

36x-(+2x*x)+11=0

We get rid of parentheses

36x-2x*x+11=0

Wy multiply elements

-2x^2+36x+11=0

a = -2; b = 36; c = +11;
Δ = b2-4ac
Δ = 362-4·(-2)·11
Δ = 1384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1384}=\sqrt{4*346}=\sqrt{4}*\sqrt{346}=2\sqrt{346}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-2\sqrt{346}}{2*-2}=\frac{-36-2\sqrt{346}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+2\sqrt{346}}{2*-2}=\frac{-36+2\sqrt{346}}{-4}
$