0=-5x^2+10x+175

Solution for 0=-5x^2+10x+175 equation:

0=-5x^2+10x+175

We move all terms to the left:

0-(-5x^2+10x+175)=0

We add all the numbers together, and all the variables

-(-5x^2+10x+175)=0

We get rid of parentheses

5x^2-10x-175=0

a = 5; b = -10; c = -175;
Δ = b2-4ac
Δ = -102-4·5·(-175)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-60}{2*5}=\frac{-50}{10}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+60}{2*5}=\frac{70}{10}
=7
$