15x^2-85x=70

Solution for 15x^2-85x=70 equation:

15x^2-85x=70

We move all terms to the left:

15x^2-85x-(70)=0

a = 15; b = -85; c = -70;
Δ = b2-4ac
Δ = -852-4·15·(-70)
Δ = 11425
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:

$\sqrt{\Delta}=\sqrt{11425}=\sqrt{25*457}=\sqrt{25}*\sqrt{457}=5\sqrt{457}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-85)-5\sqrt{457}}{2*15}=\frac{85-5\sqrt{457}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+5\sqrt{457}}{2*15}=\frac{85+5\sqrt{457}}{30}
$