6x^2/36x=216

Solution for 6x^2/36x=216 equation:

6x^2/36x=216

We move all terms to the left:

6x^2/36x-(216)=0


Domain of the equation: 36x!=0

x!=0/36

x!=0

x∈R


We multiply all the terms by the denominator


6x^2-216*36x=0

Wy multiply elements

6x^2-7776x=0

a = 6; b = -7776; c = 0;
Δ = b2-4ac
Δ = -77762-4·6·0
Δ = 60466176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{60466176}=7776$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7776)-7776}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7776)+7776}{2*6}=\frac{15552}{12}
=1296
$