3000=(4x)(x)(x/1.5)

Solution for 3000=(4x)(x)(x/1.5) equation:

3000=(4x)(x)(x/1.5)

We move all terms to the left:

3000-((4x)(x)(x/1.5))=0

We add all the numbers together, and all the variables

-(4xx(+x/1.5))+3000=0

We multiply all the terms by the denominator


-(4xx(+x+3000*1.5))=0


We calculate terms in parentheses: -(4xx(+x+3000*1.5)), so:

4xx(+x+3000*1.5)

We add all the numbers together, and all the variables

4xx(x+4500)

We multiply parentheses

4x^2+18000x

Back to the equation:

-(4x^2+18000x)


We get rid of parentheses

-4x^2-18000x=0

a = -4; b = -18000; c = 0;
Δ = b2-4ac
Δ = -180002-4·(-4)·0
Δ = 324000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324000000}=18000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18000)-18000}{2*-4}=\frac{0}{-8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18000)+18000}{2*-4}=\frac{36000}{-8}
=-4500
$