0=x^2-60x-150

Solution for 0=x^2-60x-150 equation:

0=x^2-60x-150

We move all terms to the left:

0-(x^2-60x-150)=0

We add all the numbers together, and all the variables

-(x^2-60x-150)=0

We get rid of parentheses

-x^2+60x+150=0

We add all the numbers together, and all the variables

-1x^2+60x+150=0

a = -1; b = 60; c = +150;
Δ = b2-4ac
Δ = 602-4·(-1)·150
Δ = 4200
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:

$\sqrt{\Delta}=\sqrt{4200}=\sqrt{100*42}=\sqrt{100}*\sqrt{42}=10\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-10\sqrt{42}}{2*-1}=\frac{-60-10\sqrt{42}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+10\sqrt{42}}{2*-1}=\frac{-60+10\sqrt{42}}{-2}
$