0=12x^2-60x+70

Solution for 0=12x^2-60x+70 equation:

0=12x^2-60x+70

We move all terms to the left:

0-(12x^2-60x+70)=0

We add all the numbers together, and all the variables

-(12x^2-60x+70)=0

We get rid of parentheses

-12x^2+60x-70=0

a = -12; b = 60; c = -70;
Δ = b2-4ac
Δ = 602-4·(-12)·(-70)
Δ = 240
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:

$\sqrt{\Delta}=\sqrt{240}=\sqrt{16*15}=\sqrt{16}*\sqrt{15}=4\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-4\sqrt{15}}{2*-12}=\frac{-60-4\sqrt{15}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+4\sqrt{15}}{2*-12}=\frac{-60+4\sqrt{15}}{-24}
$