2x^2*480/x*24=6x-11

Solution for 2x^2*480/x*24=6x-11 equation:

2x^2*480/x*24=6x-11

We move all terms to the left:

2x^2*480/x*24-(6x-11)=0


Domain of the equation: x*24!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

2x^2*480/x*24-6x+11=0

We multiply all the terms by the denominator


2x^2*480-6x*x*24+11*x*24=0

Wy multiply elements

960x^2-144x^2*2+264x*2=0

Wy multiply elements

960x^2-288x^2+528x=0

We add all the numbers together, and all the variables

672x^2+528x=0

a = 672; b = 528; c = 0;
Δ = b2-4ac
Δ = 5282-4·672·0
Δ = 278784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{278784}=528$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(528)-528}{2*672}=\frac{-1056}{1344}
=-11/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(528)+528}{2*672}=\frac{0}{1344}
=0
$