0=7x^2-2x

Solution for 0=7x^2-2x equation:

0=7x^2-2x

We move all terms to the left:

0-(7x^2-2x)=0

We add all the numbers together, and all the variables

-(7x^2-2x)=0

We get rid of parentheses

-7x^2+2x=0

a = -7; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-7)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-7}=\frac{-4}{-14}
=2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-7}=\frac{0}{-14}
=0
$