X^2-x+72X=0

Solution for X^2-x+72X=0 equation:

X^2-X+72X=0

We add all the numbers together, and all the variables

X^2+71X=0

a = 1; b = 71; c = 0;
Δ = b2-4ac
Δ = 712-4·1·0
Δ = 5041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5041}=71$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(71)-71}{2*1}=\frac{-142}{2}
=-71
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(71)+71}{2*1}=\frac{0}{2}
=0
$