x(14+x)=95

Solution for x(14+x)=95 equation:

x(14+x)=95

We move all terms to the left:

x(14+x)-(95)=0

We add all the numbers together, and all the variables

x(x+14)-95=0

We multiply parentheses

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
$