(3/10)x-3x+(8/5)=(3/5)

Solution for (3/10)x-3x+(8/5)=(3/5) equation:

(3/10)x-3x+(8/5)=(3/5)

We move all terms to the left:

(3/10)x-3x+(8/5)-((3/5))=0


Domain of the equation: 10)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/10)x-3x+(+8/5)-((+3/5))=0

We add all the numbers together, and all the variables

-3x+(+3/10)x+(+8/5)-((+3/5))=0

We multiply parentheses

3x^2-3x+(+8/5)-((+3/5))=0

We get rid of parentheses

3x^2-3x+8/5-((+3/5))=0

We calculate fractions


3x^2-3x=0

a = 3; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·3·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*3}=\frac{6}{6}
=1
$