0=x^2-51x-70

Solution for 0=x^2-51x-70 equation:

0=x^2-51x-70

We move all terms to the left:

0-(x^2-51x-70)=0

We add all the numbers together, and all the variables

-(x^2-51x-70)=0

We get rid of parentheses

-x^2+51x+70=0

We add all the numbers together, and all the variables

-1x^2+51x+70=0

a = -1; b = 51; c = +70;
Δ = b2-4ac
Δ = 512-4·(-1)·70
Δ = 2881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(51)-\sqrt{2881}}{2*-1}=\frac{-51-\sqrt{2881}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(51)+\sqrt{2881}}{2*-1}=\frac{-51+\sqrt{2881}}{-2}
$