0=-361x^2-684x-37

Solution for 0=-361x^2-684x-37 equation:

0=-361x^2-684x-37

We move all terms to the left:

0-(-361x^2-684x-37)=0

We add all the numbers together, and all the variables

-(-361x^2-684x-37)=0

We get rid of parentheses

361x^2+684x+37=0

a = 361; b = 684; c = +37;
Δ = b2-4ac
Δ = 6842-4·361·37
Δ = 414428
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:

$\sqrt{\Delta}=\sqrt{414428}=\sqrt{1444*287}=\sqrt{1444}*\sqrt{287}=38\sqrt{287}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(684)-38\sqrt{287}}{2*361}=\frac{-684-38\sqrt{287}}{722}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(684)+38\sqrt{287}}{2*361}=\frac{-684+38\sqrt{287}}{722}
$