0/2x+0.1=-0.4x-2.5

Solution for 0/2x+0.1=-0.4x-2.5 equation:

0/2x+0.1=-0.4x-2.5

We move all terms to the left:

0/2x+0.1-(-0.4x-2.5)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We get rid of parentheses

0/2x+0.4x+2.5+0.1=0

We multiply all the terms by the denominator


(0.4x)*2x+(2.5)*2x+(0.1)*2x+0=0

We add all the numbers together, and all the variables

(+0.4x)*2x+(2.5)*2x+(0.1)*2x+0=0

We add all the numbers together, and all the variables

(+0.4x)*2x+(2.5)*2x+(0.1)*2x=0

We multiply parentheses

0x^2+5x+0.2x=0

We add all the numbers together, and all the variables

x^2+5.2x=0

a = 1; b = 5.2; c = 0;
Δ = b2-4ac
Δ = 5.22-4·1·0
Δ = 27.04
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{-(5.2)-\sqrt{27.04}}{2*1}=\frac{-5.2-\sqrt{27.04}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.2)+\sqrt{27.04}}{2*1}=\frac{-5.2+\sqrt{27.04}}{2}
$