(3/10)x-4+(6/5)=(3/5)

Solution for (3/10)x-4+(6/5)=(3/5) equation:

(3/10)x-4+(6/5)=(3/5)

We move all terms to the left:

(3/10)x-4+(6/5)-((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-4+(+6/5)-((+3/5))=0

We multiply parentheses

3x^2-4+(+6/5)-((+3/5))=0

We get rid of parentheses

3x^2-4+6/5-((+3/5))=0

We calculate fractions


3x^2-4=0

a = 3; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·3·(-4)
Δ = 48
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{48}=\sqrt{16*3}=\sqrt{16}*\sqrt{3}=4\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{3}}{2*3}=\frac{0-4\sqrt{3}}{6}
=-\frac{4\sqrt{3}}{6}
=-\frac{2\sqrt{3}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{3}}{2*3}=\frac{0+4\sqrt{3}}{6}
=\frac{4\sqrt{3}}{6}
=\frac{2\sqrt{3}}{3}
$