12x^2=156x

Solution for 12x^2=156x equation:

12x^2=156x

We move all terms to the left:

12x^2-(156x)=0

a = 12; b = -156; c = 0;
Δ = b2-4ac
Δ = -1562-4·12·0
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156)-156}{2*12}=\frac{0}{24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156)+156}{2*12}=\frac{312}{24}
=13
$