3/8x-1.2=0.3x

Solution for 3/8x-1.2=0.3x equation:

3/8x-1.2=0.3x

We move all terms to the left:

3/8x-1.2-(0.3x)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

3/8x-(+0.3x)-1.2=0

We get rid of parentheses

3/8x-0.3x-1.2=0

We multiply all the terms by the denominator


-(0.3x)*8x-(1.2)*8x+3=0

We add all the numbers together, and all the variables

-(+0.3x)*8x-(1.2)*8x+3=0

We multiply parentheses

-0x^2-9.6x+3=0

We add all the numbers together, and all the variables

-1x^2-9.6x+3=0

a = -1; b = -9.6; c = +3;
Δ = b2-4ac
Δ = -9.62-4·(-1)·3
Δ = 104.16
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{-(-9.6)-\sqrt{104.16}}{2*-1}=\frac{9.6-\sqrt{104.16}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.6)+\sqrt{104.16}}{2*-1}=\frac{9.6+\sqrt{104.16}}{-2}
$