6/25x+0.21=0.306x=

Solution for 6/25x+0.21=0.306x= equation:

6/25x+0.21=0.306x=

We move all terms to the left:

6/25x+0.21-(0.306x)=0


Domain of the equation: 25x!=0

x!=0/25

x!=0

x∈R


We add all the numbers together, and all the variables

6/25x-(+0.306x)+0.21=0

We get rid of parentheses

6/25x-0.306x+0.21=0

We multiply all the terms by the denominator


-(0.306x)*25x+(0.21)*25x+6=0

We add all the numbers together, and all the variables

-(+0.306x)*25x+(0.21)*25x+6=0

We multiply parentheses

-0x^2+5.25x+6=0

We add all the numbers together, and all the variables

-1x^2+5.25x+6=0

a = -1; b = 5.25; c = +6;
Δ = b2-4ac
Δ = 5.252-4·(-1)·6
Δ = 51.5625
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{-(5.25)-\sqrt{51.5625}}{2*-1}=\frac{-5.25-\sqrt{51.5625}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.25)+\sqrt{51.5625}}{2*-1}=\frac{-5.25+\sqrt{51.5625}}{-2}
$