0=x^2+46x-360

Solution for 0=x^2+46x-360 equation:

0=x^2+46x-360

We move all terms to the left:

0-(x^2+46x-360)=0

We add all the numbers together, and all the variables

-(x^2+46x-360)=0

We get rid of parentheses

-x^2-46x+360=0

We add all the numbers together, and all the variables

-1x^2-46x+360=0

a = -1; b = -46; c = +360;
Δ = b2-4ac
Δ = -462-4·(-1)·360
Δ = 3556
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:

$\sqrt{\Delta}=\sqrt{3556}=\sqrt{4*889}=\sqrt{4}*\sqrt{889}=2\sqrt{889}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-2\sqrt{889}}{2*-1}=\frac{46-2\sqrt{889}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+2\sqrt{889}}{2*-1}=\frac{46+2\sqrt{889}}{-2}
$