0/10x+0.05x=2.1

Solution for 0/10x+0.05x=2.1 equation:

0/10x+0.05x=2.1

We move all terms to the left:

0/10x+0.05x-(2.1)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R


We add all the numbers together, and all the variables

0.05x+0/10x-2.1=0

We multiply all the terms by the denominator


(0.05x)*10x-(2.1)*10x+0=0

We add all the numbers together, and all the variables

(+0.05x)*10x-(2.1)*10x+0=0

We add all the numbers together, and all the variables

(+0.05x)*10x-(2.1)*10x=0

We multiply parentheses

0x^2-21x=0

We add all the numbers together, and all the variables

x^2-21x=0

a = 1; b = -21; c = 0;
Δ = b2-4ac
Δ = -212-4·1·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-21}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+21}{2*1}=\frac{42}{2}
=21
$