X2+78x=0

Solution for X2+78x=0 equation:

X2+78X=0

We add all the numbers together, and all the variables

X^2+78X=0

a = 1; b = 78; c = 0;
Δ = b2-4ac
Δ = 782-4·1·0
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(78)-78}{2*1}=\frac{-156}{2}
=-78
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(78)+78}{2*1}=\frac{0}{2}
=0
$