X-3/8x=25

Solution for X-3/8x=25 equation:

X-3/8X=25

We move all terms to the left:

X-3/8X-(25)=0


Domain of the equation: 8X!=0

X!=0/8

X!=0

X∈R


We multiply all the terms by the denominator


X*8X-25*8X-3=0

Wy multiply elements

8X^2-200X-3=0

a = 8; b = -200; c = -3;
Δ = b2-4ac
Δ = -2002-4·8·(-3)
Δ = 40096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{40096}=\sqrt{16*2506}=\sqrt{16}*\sqrt{2506}=4\sqrt{2506}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-200)-4\sqrt{2506}}{2*8}=\frac{200-4\sqrt{2506}}{16}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+4\sqrt{2506}}{2*8}=\frac{200+4\sqrt{2506}}{16}
$