0.05x(0.25)(0.2x)=6.00

Solution for 0.05x(0.25)(0.2x)=6.00 equation:

0.05x(0.25)(0.2x)=6.00

We move all terms to the left:

0.05x(0.25)(0.2x)-(6.00)=0

We add all the numbers together, and all the variables

0.05x(0.25)(+0.2x)-6=0

We multiply parentheses ..

0.05x(+0x)-6=0

We add all the numbers together, and all the variables

0.05x(+x)-6=0

We multiply parentheses

0x^2-6=0

We add all the numbers together, and all the variables

x^2-6=0

a = 1; b = 0; c = -6;
Δ = b2-4ac
Δ = 02-4·1·(-6)
Δ = 24
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:

$\sqrt{\Delta}=\sqrt{24}=\sqrt{4*6}=\sqrt{4}*\sqrt{6}=2\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{6}}{2*1}=\frac{0-2\sqrt{6}}{2}
=-\frac{2\sqrt{6}}{2}
=-\sqrt{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{6}}{2*1}=\frac{0+2\sqrt{6}}{2}
=\frac{2\sqrt{6}}{2}
=\sqrt{6}
$