(15-x)x-2=14

Solution for (15-x)x-2=14 equation:

(15-x)x-2=14

We move all terms to the left:

(15-x)x-2-(14)=0

We add all the numbers together, and all the variables

(-1x+15)x-2-14=0

We add all the numbers together, and all the variables

(-1x+15)x-16=0

We multiply parentheses

-1x^2+15x-16=0

a = -1; b = 15; c = -16;
Δ = b2-4ac
Δ = 152-4·(-1)·(-16)
Δ = 161
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{-(15)-\sqrt{161}}{2*-1}=\frac{-15-\sqrt{161}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{161}}{2*-1}=\frac{-15+\sqrt{161}}{-2}
$