(15-X)x-4=-32

Solution for (15-X)x-4=-32 equation:

(15-X)X-4=-32

We move all terms to the left:

(15-X)X-4-(-32)=0

We add all the numbers together, and all the variables

(-1X+15)X-4-(-32)=0

We add all the numbers together, and all the variables

(-1X+15)X+28=0

We multiply parentheses

-1X^2+15X+28=0

a = -1; b = 15; c = +28;
Δ = b2-4ac
Δ = 152-4·(-1)·28
Δ = 337
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{337}}{2*-1}=\frac{-15-\sqrt{337}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{337}}{2*-1}=\frac{-15+\sqrt{337}}{-2}
$