X^2-28x=-52

Solution for X^2-28x=-52 equation:

X^2-28X=-52

We move all terms to the left:

X^2-28X-(-52)=0

We add all the numbers together, and all the variables

X^2-28X+52=0

a = 1; b = -28; c = +52;
Δ = b2-4ac
Δ = -282-4·1·52
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-24}{2*1}=\frac{4}{2}
=2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+24}{2*1}=\frac{52}{2}
=26
$