4d=(6d)(0.25d)

Solution for 4d=(6d)(0.25d) equation:

4d=(6d)(0.25d)

We move all terms to the left:

4d-((6d)(0.25d))=0

We add all the numbers together, and all the variables

4d-(6d(+0.25d))=0


We calculate terms in parentheses: -(6d(+0.25d)), so:

6d(+0.25d)

We multiply parentheses

0d^2

We add all the numbers together, and all the variables

d^2

Back to the equation:

-(d^2)


determiningTheFunctionDomain
-d^2+4d=0

We add all the numbers together, and all the variables

-1d^2+4d=0

a = -1; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-1)·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*-1}=\frac{-8}{-2}
=+4
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-1}=\frac{0}{-2}
=0
$