66/100*x=200000

Solution for 66/100*x=200000 equation:

66/100*x=200000

We move all terms to the left:

66/100*x-(200000)=0


Domain of the equation: 100*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-200000*100*x+66=0

Wy multiply elements

-20000000x*x+66=0

Wy multiply elements

-20000000x^2+66=0

a = -20000000; b = 0; c = +66;
Δ = b2-4ac
Δ = 02-4·(-20000000)·66
Δ = 5280000000
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:

$\sqrt{\Delta}=\sqrt{5280000000}=\sqrt{16000000*330}=\sqrt{16000000}*\sqrt{330}=4000\sqrt{330}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4000\sqrt{330}}{2*-20000000}=\frac{0-4000\sqrt{330}}{-40000000}
=-\frac{4000\sqrt{330}}{-40000000}
=-\frac{\sqrt{330}}{-10000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000\sqrt{330}}{2*-20000000}=\frac{0+4000\sqrt{330}}{-40000000}
=\frac{4000\sqrt{330}}{-40000000}
=\frac{\sqrt{330}}{-10000}
$