x*1,375x=18,4

Solution for x*1,375x=18,4 equation:

x*1.375x=18.4

We move all terms to the left:

x*1.375x-(18.4)=0

We add all the numbers together, and all the variables

x*1.375x-18.4=0

Wy multiply elements

x^2-18.4=0

a = 1; b = 0; c = -18.4;
Δ = b2-4ac
Δ = 02-4·1·(-18.4)
Δ = 73.6
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{-(0)-\sqrt{73.6}}{2*1}=\frac{0-\sqrt{73.6}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{73.6}}{2*1}=\frac{0+\sqrt{73.6}}{2}
=\frac{\sqrt{}}{2}
$