481=x(1.5x2)

Solution for 481=x(1.5x2) equation:

481=x(1.5x^2)

We move all terms to the left:

481-(x(1.5x^2))=0


We calculate terms in parentheses: -(x(1.5x^2)), so:

x(1.5x^2)

We multiply parentheses

x^2

Back to the equation:

-(x^2)


We add all the numbers together, and all the variables

-1x^2+481=0

a = -1; b = 0; c = +481;
Δ = b2-4ac
Δ = 02-4·(-1)·481
Δ = 1924
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:

$\sqrt{\Delta}=\sqrt{1924}=\sqrt{4*481}=\sqrt{4}*\sqrt{481}=2\sqrt{481}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{481}}{2*-1}=\frac{0-2\sqrt{481}}{-2}
=-\frac{2\sqrt{481}}{-2}
=-\frac{\sqrt{481}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{481}}{2*-1}=\frac{0+2\sqrt{481}}{-2}
=\frac{2\sqrt{481}}{-2}
=\frac{\sqrt{481}}{-1}
$