6x(12=8)/52x2

Solution for 6x(12=8)/52x2 equation:

6x(12=8)/52x^2

We move all terms to the left:

6x(12-(8)/52x^2)=0


Domain of the equation: 52x^2)!=0

x!=0/1

x!=0

x∈R


We multiply parentheses

-48x^2+72x=0

a = -48; b = 72; c = 0;
Δ = b2-4ac
Δ = 722-4·(-48)·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-72}{2*-48}=\frac{-144}{-96}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+72}{2*-48}=\frac{0}{-96}
=0
$