0=2x^2-50x+175

Solution for 0=2x^2-50x+175 equation:

0=2x^2-50x+175

We move all terms to the left:

0-(2x^2-50x+175)=0

We add all the numbers together, and all the variables

-(2x^2-50x+175)=0

We get rid of parentheses

-2x^2+50x-175=0

a = -2; b = 50; c = -175;
Δ = b2-4ac
Δ = 502-4·(-2)·(-175)
Δ = 1100
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:

$\sqrt{\Delta}=\sqrt{1100}=\sqrt{100*11}=\sqrt{100}*\sqrt{11}=10\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-10\sqrt{11}}{2*-2}=\frac{-50-10\sqrt{11}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+10\sqrt{11}}{2*-2}=\frac{-50+10\sqrt{11}}{-4}
$