0=30x^2-35x+10

Solution for 0=30x^2-35x+10 equation:

0=30x^2-35x+10

We move all terms to the left:

0-(30x^2-35x+10)=0

We add all the numbers together, and all the variables

-(30x^2-35x+10)=0

We get rid of parentheses

-30x^2+35x-10=0

a = -30; b = 35; c = -10;
Δ = b2-4ac
Δ = 352-4·(-30)·(-10)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-5}{2*-30}=\frac{-40}{-60}
=2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+5}{2*-30}=\frac{-30}{-60}
=1/2
$