6x*7x=2688

Solution for 6x*7x=2688 equation:

6x*7x=2688

We move all terms to the left:

6x*7x-(2688)=0

Wy multiply elements

42x^2-2688=0

a = 42; b = 0; c = -2688;
Δ = b2-4ac
Δ = 02-4·42·(-2688)
Δ = 451584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{451584}=672$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-672}{2*42}=\frac{-672}{84}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+672}{2*42}=\frac{672}{84}
=8
$