x+x(12/100)=295

Solution for x+x(12/100)=295 equation:

X+X(12/100)=295

We move all terms to the left:

X+X(12/100)-(295)=0

We add all the numbers together, and all the variables

X+X(+12/100)-295=0

We multiply parentheses

12X^2+X-295=0

a = 12; b = 1; c = -295;
Δ = b2-4ac
Δ = 12-4·12·(-295)
Δ = 14161
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14161}=119$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-119}{2*12}=\frac{-120}{24}
=-5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+119}{2*12}=\frac{118}{24}
=4+11/12
$