-144x=x^2+70x+1225

Solution for -144x=x^2+70x+1225 equation:

-144x=x^2+70x+1225

We move all terms to the left:

-144x-(x^2+70x+1225)=0

We get rid of parentheses

-x^2-144x-70x-1225=0

We add all the numbers together, and all the variables

-1x^2-214x-1225=0

a = -1; b = -214; c = -1225;
Δ = b2-4ac
Δ = -2142-4·(-1)·(-1225)
Δ = 40896
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:

$\sqrt{\Delta}=\sqrt{40896}=\sqrt{576*71}=\sqrt{576}*\sqrt{71}=24\sqrt{71}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-214)-24\sqrt{71}}{2*-1}=\frac{214-24\sqrt{71}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-214)+24\sqrt{71}}{2*-1}=\frac{214+24\sqrt{71}}{-2}
$