300=(1.5x)x

Solution for 300=(1.5x)x equation:

300=(1.5x)x

We move all terms to the left:

300-((1.5x)x)=0

We add all the numbers together, and all the variables

-((+1.5x)x)+300=0


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

(+1.5x)x

We multiply parentheses

x^2

Back to the equation:

-(x^2)


We add all the numbers together, and all the variables

-1x^2+300=0

a = -1; b = 0; c = +300;
Δ = b2-4ac
Δ = 02-4·(-1)·300
Δ = 1200
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:

$\sqrt{\Delta}=\sqrt{1200}=\sqrt{400*3}=\sqrt{400}*\sqrt{3}=20\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{3}}{2*-1}=\frac{0-20\sqrt{3}}{-2}
=-\frac{20\sqrt{3}}{-2}
=-\frac{10\sqrt{3}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{3}}{2*-1}=\frac{0+20\sqrt{3}}{-2}
=\frac{20\sqrt{3}}{-2}
=\frac{10\sqrt{3}}{-1}
$