x^2-25x=-156

Solution for x^2-25x=-156 equation:

x^2-25x=-156

We move all terms to the left:

x^2-25x-(-156)=0

We add all the numbers together, and all the variables

x^2-25x+156=0

a = 1; b = -25; c = +156;
Δ = b2-4ac
Δ = -252-4·1·156
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-1}{2*1}=\frac{24}{2}
=12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+1}{2*1}=\frac{26}{2}
=13
$