(0.75x)(50*x)=15000

Solution for (0.75x)(50*x)=15000 equation:

(0.75x)(50x)=15000

We move all terms to the left:

(0.75x)(50x)-(15000)=0

We add all the numbers together, and all the variables

(+0.75x)50x-15000=0

We multiply parentheses

0x^2-15000=0

We add all the numbers together, and all the variables

x^2-15000=0

a = 1; b = 0; c = -15000;
Δ = b2-4ac
Δ = 02-4·1·(-15000)
Δ = 60000
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:

$\sqrt{\Delta}=\sqrt{60000}=\sqrt{10000*6}=\sqrt{10000}*\sqrt{6}=100\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{6}}{2*1}=\frac{0-100\sqrt{6}}{2}
=-\frac{100\sqrt{6}}{2}
=-50\sqrt{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{6}}{2*1}=\frac{0+100\sqrt{6}}{2}
=\frac{100\sqrt{6}}{2}
=50\sqrt{6}
$