3x(x-73)=0

Solution for 3x(x-73)=0 equation:

3x(x-73)=0

We multiply parentheses

3x^2-219x=0

a = 3; b = -219; c = 0;
Δ = b2-4ac
Δ = -2192-4·3·0
Δ = 47961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{47961}=219$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-219)-219}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-219)+219}{2*3}=\frac{438}{6}
=73
$