x(x=78)=7488

Solution for x(x=78)=7488 equation:

x(x=78)=7488

We move all terms to the left:

x(x-(78))=0

We multiply parentheses

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