X^2+85+14x=180

Solution for X^2+85+14x=180 equation:

X^2+85+14X=180

We move all terms to the left:

X^2+85+14X-(180)=0

We add all the numbers together, and all the variables

X^2+14X-95=0

a = 1; b = 14; c = -95;
Δ = b2-4ac
Δ = 142-4·1·(-95)
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{-(14)-24}{2*1}=\frac{-38}{2}
=-19
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+24}{2*1}=\frac{10}{2}
=5
$