1/2d+1/8d=2

Solution for 1/2d+1/8d=2 equation:

1/2d+1/8d=2

We move all terms to the left:

1/2d+1/8d-(2)=0


Domain of the equation: 2d!=0

d!=0/2

d!=0

d∈R



Domain of the equation: 8d!=0

d!=0/8

d!=0

d∈R


We calculate fractions


8d/16d^2+2d/16d^2-2=0

We multiply all the terms by the denominator


8d+2d-2*16d^2=0

We add all the numbers together, and all the variables

10d-2*16d^2=0

Wy multiply elements

-32d^2+10d=0

a = -32; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-32)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-32}=\frac{-20}{-64}
=5/16
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-32}=\frac{0}{-64}
=0
$