x2-17x=-12

Solution for x2-17x=-12 equation:

x2-17x=-12

We move all terms to the left:

x2-17x-(-12)=0

We add all the numbers together, and all the variables

x^2-17x+12=0

a = 1; b = -17; c = +12;
Δ = b2-4ac
Δ = -172-4·1·12
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-\sqrt{241}}{2*1}=\frac{17-\sqrt{241}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{241}}{2*1}=\frac{17+\sqrt{241}}{2}
$