25x^2-70x-33=0

Solution for 25x^2-70x-33=0 equation:

25x^2-70x-33=0

a = 25; b = -70; c = -33;
Δ = b2-4ac
Δ = -702-4·25·(-33)
Δ = 8200
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:

$\sqrt{\Delta}=\sqrt{8200}=\sqrt{100*82}=\sqrt{100}*\sqrt{82}=10\sqrt{82}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-10\sqrt{82}}{2*25}=\frac{70-10\sqrt{82}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+10\sqrt{82}}{2*25}=\frac{70+10\sqrt{82}}{50}
$