4d^2=4d/2

Solution for 4d^2=4d/2 equation:

4d^2=4d/2

We move all terms to the left:

4d^2-(4d/2)=0

We add all the numbers together, and all the variables

4d^2-(+4d/2)=0

We get rid of parentheses

4d^2-4d/2=0

We multiply all the terms by the denominator


4d^2*2-4d=0

Wy multiply elements

8d^2-4d=0

a = 8; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·8·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*8}=\frac{0}{16}
=0
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*8}=\frac{8}{16}
=1/2
$