2x^2-14x=156

Solution for 2x^2-14x=156 equation:

2x^2-14x=156

We move all terms to the left:

2x^2-14x-(156)=0

a = 2; b = -14; c = -156;
Δ = b2-4ac
Δ = -142-4·2·(-156)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-38}{2*2}=\frac{-24}{4}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+38}{2*2}=\frac{52}{4}
=13
$