0.3x-3/5x+1.6=1.555

Solution for 0.3x-3/5x+1.6=1.555 equation:

0.3x-3/5x+1.6=1.555

We move all terms to the left:

0.3x-3/5x+1.6-(1.555)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

0.3x-3/5x+0.045=0

We multiply all the terms by the denominator


(0.3x)*5x+(0.045)*5x-3=0

We add all the numbers together, and all the variables

(+0.3x)*5x+(0.045)*5x-3=0

We multiply parentheses

0x^2+0.225x-3=0

We add all the numbers together, and all the variables

x^2+0.225x-3=0

a = 1; b = 0.225; c = -3;
Δ = b2-4ac
Δ = 0.2252-4·1·(-3)
Δ = 12.050625
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{-(0.225)-\sqrt{12.050625}}{2*1}=\frac{-0.225-\sqrt{12.050625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.225)+\sqrt{12.050625}}{2*1}=\frac{-0.225+\sqrt{12.050625}}{2}
$