6d=54/d=9

Solution for 6d=54/d=9 equation:

6d=54/d=9

We move all terms to the left:

6d-(54/d)=0


Domain of the equation: d)!=0

d!=0/1

d!=0

d∈R


We add all the numbers together, and all the variables

6d-(+54/d)=0

We get rid of parentheses

6d-54/d=0

We multiply all the terms by the denominator


6d*d-54=0

Wy multiply elements

6d^2-54=0

a = 6; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·6·(-54)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*6}=\frac{-36}{12}
=-3
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*6}=\frac{36}{12}
=3
$