4/9x+0.15x=3.45

Solution for 4/9x+0.15x=3.45 equation:

4/9x+0.15x=3.45

We move all terms to the left:

4/9x+0.15x-(3.45)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R


We add all the numbers together, and all the variables

0.15x+4/9x-3.45=0

We multiply all the terms by the denominator


(0.15x)*9x-(3.45)*9x+4=0

We add all the numbers together, and all the variables

(+0.15x)*9x-(3.45)*9x+4=0

We multiply parentheses

0x^2-31.05x+4=0

We add all the numbers together, and all the variables

x^2-31.05x+4=0

a = 1; b = -31.05; c = +4;
Δ = b2-4ac
Δ = -31.052-4·1·4
Δ = 948.1025
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{-(-31.05)-\sqrt{948.1025}}{2*1}=\frac{31.05-\sqrt{948.1025}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31.05)+\sqrt{948.1025}}{2*1}=\frac{31.05+\sqrt{948.1025}}{2}
$