0=50x^2-70

Solution for 0=50x^2-70 equation:

0=50x^2-70

We move all terms to the left:

0-(50x^2-70)=0

We add all the numbers together, and all the variables

-(50x^2-70)=0

We get rid of parentheses

-50x^2+70=0

a = -50; b = 0; c = +70;
Δ = b2-4ac
Δ = 02-4·(-50)·70
Δ = 14000
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:

$\sqrt{\Delta}=\sqrt{14000}=\sqrt{400*35}=\sqrt{400}*\sqrt{35}=20\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{35}}{2*-50}=\frac{0-20\sqrt{35}}{-100}
=-\frac{20\sqrt{35}}{-100}
=-\frac{\sqrt{35}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{35}}{2*-50}=\frac{0+20\sqrt{35}}{-100}
=\frac{20\sqrt{35}}{-100}
=\frac{\sqrt{35}}{-5}
$