0=x^2-70x-600

Solution for 0=x^2-70x-600 equation:

0=x^2-70x-600

We move all terms to the left:

0-(x^2-70x-600)=0

We add all the numbers together, and all the variables

-(x^2-70x-600)=0

We get rid of parentheses

-x^2+70x+600=0

We add all the numbers together, and all the variables

-1x^2+70x+600=0

a = -1; b = 70; c = +600;
Δ = b2-4ac
Δ = 702-4·(-1)·600
Δ = 7300
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:

$\sqrt{\Delta}=\sqrt{7300}=\sqrt{100*73}=\sqrt{100}*\sqrt{73}=10\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-10\sqrt{73}}{2*-1}=\frac{-70-10\sqrt{73}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+10\sqrt{73}}{2*-1}=\frac{-70+10\sqrt{73}}{-2}
$