X(y-4)+4y=2598

Solution for X(y-4)+4y=2598 equation:

X(X-4)+4X=2598

We move all terms to the left:

X(X-4)+4X-(2598)=0

We add all the numbers together, and all the variables

4X+X(X-4)-2598=0

We multiply parentheses

X^2+4X-4X-2598=0

We add all the numbers together, and all the variables

X^2-2598=0

a = 1; b = 0; c = -2598;
Δ = b2-4ac
Δ = 02-4·1·(-2598)
Δ = 10392
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{10392}=\sqrt{4*2598}=\sqrt{4}*\sqrt{2598}=2\sqrt{2598}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{2598}}{2*1}=\frac{0-2\sqrt{2598}}{2}
=-\frac{2\sqrt{2598}}{2}
=-\sqrt{2598}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{2598}}{2*1}=\frac{0+2\sqrt{2598}}{2}
=\frac{2\sqrt{2598}}{2}
=\sqrt{2598}
$