0=-5x^2-90x+127

Solution for 0=-5x^2-90x+127 equation:

0=-5x^2-90x+127

We move all terms to the left:

0-(-5x^2-90x+127)=0

We add all the numbers together, and all the variables

-(-5x^2-90x+127)=0

We get rid of parentheses

5x^2+90x-127=0

a = 5; b = 90; c = -127;
Δ = b2-4ac
Δ = 902-4·5·(-127)
Δ = 10640
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:

$\sqrt{\Delta}=\sqrt{10640}=\sqrt{16*665}=\sqrt{16}*\sqrt{665}=4\sqrt{665}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(90)-4\sqrt{665}}{2*5}=\frac{-90-4\sqrt{665}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(90)+4\sqrt{665}}{2*5}=\frac{-90+4\sqrt{665}}{10}
$