(73/100)*x=4

Solution for (73/100)*x=4 equation:

(73/100)*x=4

We move all terms to the left:

(73/100)*x-(4)=0


Domain of the equation: 100)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+73/100)*x-4=0

We multiply parentheses

73x^2-4=0

a = 73; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·73·(-4)
Δ = 1168
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:

$\sqrt{\Delta}=\sqrt{1168}=\sqrt{16*73}=\sqrt{16}*\sqrt{73}=4\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{73}}{2*73}=\frac{0-4\sqrt{73}}{146}
=-\frac{4\sqrt{73}}{146}
=-\frac{2\sqrt{73}}{73}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{73}}{2*73}=\frac{0+4\sqrt{73}}{146}
=\frac{4\sqrt{73}}{146}
=\frac{2\sqrt{73}}{73}
$