12/100*x=36600

Solution for 12/100*x=36600 equation:

12/100*x=36600

We move all terms to the left:

12/100*x-(36600)=0


Domain of the equation: 100*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-36600*100*x+12=0

Wy multiply elements

-3660000x*x+12=0

Wy multiply elements

-3660000x^2+12=0

a = -3660000; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-3660000)·12
Δ = 175680000
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:

$\sqrt{\Delta}=\sqrt{175680000}=\sqrt{1440000*122}=\sqrt{1440000}*\sqrt{122}=1200\sqrt{122}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1200\sqrt{122}}{2*-3660000}=\frac{0-1200\sqrt{122}}{-7320000}
=-\frac{1200\sqrt{122}}{-7320000}
=-\frac{\sqrt{122}}{-6100}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1200\sqrt{122}}{2*-3660000}=\frac{0+1200\sqrt{122}}{-7320000}
=\frac{1200\sqrt{122}}{-7320000}
=\frac{\sqrt{122}}{-6100}
$