70x^2-32x-10=-4

Solution for 70x^2-32x-10=-4 equation:

70x^2-32x-10=-4

We move all terms to the left:

70x^2-32x-10-(-4)=0

We add all the numbers together, and all the variables

70x^2-32x-6=0

a = 70; b = -32; c = -6;
Δ = b2-4ac
Δ = -322-4·70·(-6)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-52}{2*70}=\frac{-20}{140}
=-1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+52}{2*70}=\frac{84}{140}
=3/5
$