x^2+16x-12=5

Solution for x^2+16x-12=5 equation:

x^2+16x-12=5

We move all terms to the left:

x^2+16x-12-(5)=0

We add all the numbers together, and all the variables

x^2+16x-17=0

a = 1; b = 16; c = -17;
Δ = b2-4ac
Δ = 162-4·1·(-17)
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-18}{2*1}=\frac{-34}{2}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+18}{2*1}=\frac{2}{2}
=1
$