x+3/2x=43,200

Solution for x+3/2x=43,200 equation:

x+3/2x=43.200

We move all terms to the left:

x+3/2x-(43.200)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

x+3/2x-(43.2)=0

We add all the numbers together, and all the variables

x+3/2x-43.2=0

We multiply all the terms by the denominator


x*2x-(43.2)*2x+3=0

We multiply parentheses

x*2x-86.4x+3=0

Wy multiply elements

2x^2-86.4x+3=0

a = 2; b = -86.4; c = +3;
Δ = b2-4ac
Δ = -86.42-4·2·3
Δ = 7440.96
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{-(-86.4)-\sqrt{7440.96}}{2*2}=\frac{86.4-\sqrt{7440.96}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-86.4)+\sqrt{7440.96}}{2*2}=\frac{86.4+\sqrt{7440.96}}{4}
$