0=36+37x+7x^2

Solution for 0=36+37x+7x^2 equation:

0=36+37x+7x^2

We move all terms to the left:

0-(36+37x+7x^2)=0

We add all the numbers together, and all the variables

-(36+37x+7x^2)=0

We get rid of parentheses

-7x^2-37x-36=0

a = -7; b = -37; c = -36;
Δ = b2-4ac
Δ = -372-4·(-7)·(-36)
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-19}{2*-7}=\frac{18}{-14}
=-1+2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+19}{2*-7}=\frac{56}{-14}
=-4
$