2x+15/2x-24=432

Solution for 2x+15/2x-24=432 equation:

2x+15/2x-24=432

We move all terms to the left:

2x+15/2x-24-(432)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

2x+15/2x-456=0

We multiply all the terms by the denominator


2x*2x-456*2x+15=0

Wy multiply elements

4x^2-912x+15=0

a = 4; b = -912; c = +15;
Δ = b2-4ac
Δ = -9122-4·4·15
Δ = 831504
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:

$\sqrt{\Delta}=\sqrt{831504}=\sqrt{16*51969}=\sqrt{16}*\sqrt{51969}=4\sqrt{51969}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-912)-4\sqrt{51969}}{2*4}=\frac{912-4\sqrt{51969}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-912)+4\sqrt{51969}}{2*4}=\frac{912+4\sqrt{51969}}{8}
$