14x^2-32x=30

Solution for 14x^2-32x=30 equation:

14x^2-32x=30

We move all terms to the left:

14x^2-32x-(30)=0

a = 14; b = -32; c = -30;
Δ = b2-4ac
Δ = -322-4·14·(-30)
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*14}=\frac{-20}{28}
=-5/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+52}{2*14}=\frac{84}{28}
=3
$