(3.6/2)x=1.8(6x+1)

Solution for (3.6/2)x=1.8(6x+1) equation:

(3.6/2)x=1.8(6x+1)

We move all terms to the left:

(3.6/2)x-(1.8(6x+1))=0


Domain of the equation: 2)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3.6/2)x-(1.8(6x+1))=0

We multiply parentheses

3x^2-(1.8(6x+1))=0


We calculate terms in parentheses: -(1.8(6x+1)), so:

1.8(6x+1)

We multiply parentheses

10.8x+1.8

Back to the equation:

-(10.8x+1.8)


We get rid of parentheses

3x^2-10.8x-1.8=0

a = 3; b = -10.8; c = -1.8;
Δ = b2-4ac
Δ = -10.82-4·3·(-1.8)
Δ = 138.24
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{-(-10.8)-\sqrt{138.24}}{2*3}=\frac{10.8-\sqrt{138.24}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10.8)+\sqrt{138.24}}{2*3}=\frac{10.8+\sqrt{138.24}}{6}
$