24x*7x*1/2=660

Solution for 24x*7x*1/2=660 equation:

24x*7x*1/2=660

We move all terms to the left:

24x*7x*1/2-(660)=0

We multiply all the terms by the denominator


24x*7x*1-660*2=0

We add all the numbers together, and all the variables

24x*7x*1-1320=0

Wy multiply elements

168x^2*1-1320=0

Wy multiply elements

168x^2-1320=0

a = 168; b = 0; c = -1320;
Δ = b2-4ac
Δ = 02-4·168·(-1320)
Δ = 887040
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:

$\sqrt{\Delta}=\sqrt{887040}=\sqrt{2304*385}=\sqrt{2304}*\sqrt{385}=48\sqrt{385}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{385}}{2*168}=\frac{0-48\sqrt{385}}{336}
=-\frac{48\sqrt{385}}{336}
=-\frac{\sqrt{385}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{385}}{2*168}=\frac{0+48\sqrt{385}}{336}
=\frac{48\sqrt{385}}{336}
=\frac{\sqrt{385}}{7}
$