8*3*x=270

Solution for 8*3*x=270 equation:

8*3*x=270

We move all terms to the left:

8*3*x-(270)=0

Wy multiply elements

24x*x-270=0

Wy multiply elements

24x^2-270=0

a = 24; b = 0; c = -270;
Δ = b2-4ac
Δ = 02-4·24·(-270)
Δ = 25920
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:

$\sqrt{\Delta}=\sqrt{25920}=\sqrt{5184*5}=\sqrt{5184}*\sqrt{5}=72\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{5}}{2*24}=\frac{0-72\sqrt{5}}{48}
=-\frac{72\sqrt{5}}{48}
=-\frac{3\sqrt{5}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{5}}{2*24}=\frac{0+72\sqrt{5}}{48}
=\frac{72\sqrt{5}}{48}
=\frac{3\sqrt{5}}{2}
$