0=30x^2-87x+30

Solution for 0=30x^2-87x+30 equation:

0=30x^2-87x+30

We move all terms to the left:

0-(30x^2-87x+30)=0

We add all the numbers together, and all the variables

-(30x^2-87x+30)=0

We get rid of parentheses

-30x^2+87x-30=0

a = -30; b = 87; c = -30;
Δ = b2-4ac
Δ = 872-4·(-30)·(-30)
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(87)-63}{2*-30}=\frac{-150}{-60}
=2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(87)+63}{2*-30}=\frac{-24}{-60}
=2/5
$