x*(3/4x)=30000000

Solution for x*(3/4x)=30000000 equation:

x(3/4x)=30000000

We move all terms to the left:

x(3/4x)-(30000000)=0


Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x(+3/4x)-30000000=0

We multiply parentheses

3x^2-30000000=0

a = 3; b = 0; c = -30000000;
Δ = b2-4ac
Δ = 02-4·3·(-30000000)
Δ = 360000000
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:

$\sqrt{\Delta}=\sqrt{360000000}=\sqrt{36000000*10}=\sqrt{36000000}*\sqrt{10}=6000\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6000\sqrt{10}}{2*3}=\frac{0-6000\sqrt{10}}{6}
=-\frac{6000\sqrt{10}}{6}
=-1000\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6000\sqrt{10}}{2*3}=\frac{0+6000\sqrt{10}}{6}
=\frac{6000\sqrt{10}}{6}
=1000\sqrt{10}
$