0.215075/(4(10)^-5)=x

Solution for 0.215075/(4(10)^-5)=x equation:

0.215075/(4(10)^-5)=x

We move all terms to the left:

0.215075/(4(10)^-5)-(x)=0

We add all the numbers together, and all the variables

-1x+0.215075/(410^-5)=0

We multiply all the terms by the denominator


-1x*(410^-5)+0.215075=0

We multiply parentheses

-410x^2+5x+0.215075=0

a = -410; b = 5; c = +0.215075;
Δ = b2-4ac
Δ = 52-4·(-410)·0.215075
Δ = 377.723
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{377.723}}{2*-410}=\frac{-5-\sqrt{377.723}}{-820}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{377.723}}{2*-410}=\frac{-5+\sqrt{377.723}}{-820}
$