12x^2-780x=0

Solution for 12x^2-780x=0 equation:

12x^2-780x=0

a = 12; b = -780; c = 0;
Δ = b2-4ac
Δ = -7802-4·12·0
Δ = 608400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{608400}=780$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-780)-780}{2*12}=\frac{0}{24}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-780)+780}{2*12}=\frac{1560}{24}
=65
$