6x*3.5x=2100

Solution for 6x*3.5x=2100 equation:

6x*3.5x=2100

We move all terms to the left:

6x*3.5x-(2100)=0

Wy multiply elements

18x^2-2100=0

a = 18; b = 0; c = -2100;
Δ = b2-4ac
Δ = 02-4·18·(-2100)
Δ = 151200
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:

$\sqrt{\Delta}=\sqrt{151200}=\sqrt{3600*42}=\sqrt{3600}*\sqrt{42}=60\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{42}}{2*18}=\frac{0-60\sqrt{42}}{36}
=-\frac{60\sqrt{42}}{36}
=-\frac{5\sqrt{42}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{42}}{2*18}=\frac{0+60\sqrt{42}}{36}
=\frac{60\sqrt{42}}{36}
=\frac{5\sqrt{42}}{3}
$