3((30/24)-1)=x

Solution for 3((30/24)-1)=x equation:

3((30/24)-1)=x

We move all terms to the left:

3((30/24)-1)-(x)=0

We add all the numbers together, and all the variables

-x+3((+30/24)-1)=0

We add all the numbers together, and all the variables

-1x+3((+30/24)-1)=0

We multiply all the terms by the denominator


-1x*24)-1)+3((+30=0

Wy multiply elements

-24x^2+30=0

a = -24; b = 0; c = +30;
Δ = b2-4ac
Δ = 02-4·(-24)·30
Δ = 2880
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:

$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5}}{2*-24}=\frac{0-24\sqrt{5}}{-48}
=-\frac{24\sqrt{5}}{-48}
=-\frac{\sqrt{5}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5}}{2*-24}=\frac{0+24\sqrt{5}}{-48}
=\frac{24\sqrt{5}}{-48}
=\frac{\sqrt{5}}{-2}
$