12/3*x=136

Solution for 12/3*x=136 equation:

12/3*x=136

We move all terms to the left:

12/3*x-(136)=0


Domain of the equation: 3*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-136*3*x+12=0

Wy multiply elements

-408x*x+12=0

Wy multiply elements

-408x^2+12=0

a = -408; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-408)·12
Δ = 19584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{19584}=\sqrt{576*34}=\sqrt{576}*\sqrt{34}=24\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{34}}{2*-408}=\frac{0-24\sqrt{34}}{-816}
=-\frac{24\sqrt{34}}{-816}
=-\frac{\sqrt{34}}{-34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{34}}{2*-408}=\frac{0+24\sqrt{34}}{-816}
=\frac{24\sqrt{34}}{-816}
=\frac{\sqrt{34}}{-34}
$