1.5x-3/2x=13.2

Solution for 1.5x-3/2x=13.2 equation:

1.5x-3/2x=13.2

We move all terms to the left:

1.5x-3/2x-(13.2)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

1.5x-3/2x-13.2=0

We multiply all the terms by the denominator


(1.5x)*2x-(13.2)*2x-3=0

We add all the numbers together, and all the variables

(+1.5x)*2x-(13.2)*2x-3=0

We multiply parentheses

2x^2-26.4x-3=0

a = 2; b = -26.4; c = -3;
Δ = b2-4ac
Δ = -26.42-4·2·(-3)
Δ = 720.96
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{-(-26.4)-\sqrt{720.96}}{2*2}=\frac{26.4-\sqrt{720.96}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26.4)+\sqrt{720.96}}{2*2}=\frac{26.4+\sqrt{720.96}}{4}
$