0=5x^2-120x+700

Solution for 0=5x^2-120x+700 equation:

0=5x^2-120x+700

We move all terms to the left:

0-(5x^2-120x+700)=0

We add all the numbers together, and all the variables

-(5x^2-120x+700)=0

We get rid of parentheses

-5x^2+120x-700=0

a = -5; b = 120; c = -700;
Δ = b2-4ac
Δ = 1202-4·(-5)·(-700)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-20}{2*-5}=\frac{-140}{-10}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+20}{2*-5}=\frac{-100}{-10}
=+10
$