3+2.7x=9.6+3/2x

Solution for 3+2.7x=9.6+3/2x equation:

3+2.7x=9.6+3/2x

We move all terms to the left:

3+2.7x-(9.6+3/2x)=0


Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2.7x-(3/2x+9.6)+3=0

We get rid of parentheses

2.7x-3/2x-9.6+3=0

We multiply all the terms by the denominator


(2.7x)*2x-(9.6)*2x+3*2x-3=0

We add all the numbers together, and all the variables

(+2.7x)*2x-(9.6)*2x+3*2x-3=0

We multiply parentheses

4x^2-19.2x+3*2x-3=0

Wy multiply elements

4x^2-19.2x+6x-3=0

We add all the numbers together, and all the variables

4x^2-13.2x-3=0

a = 4; b = -13.2; c = -3;
Δ = b2-4ac
Δ = -13.22-4·4·(-3)
Δ = 222.24
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{-(-13.2)-\sqrt{222.24}}{2*4}=\frac{13.2-\sqrt{222.24}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13.2)+\sqrt{222.24}}{2*4}=\frac{13.2+\sqrt{222.24}}{8}
$