x*6x=112

Solution for x*6x=112 equation:

x*6x=112

We move all terms to the left:

x*6x-(112)=0

Wy multiply elements

6x^2-112=0

a = 6; b = 0; c = -112;
Δ = b2-4ac
Δ = 02-4·6·(-112)
Δ = 2688
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:

$\sqrt{\Delta}=\sqrt{2688}=\sqrt{64*42}=\sqrt{64}*\sqrt{42}=8\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{42}}{2*6}=\frac{0-8\sqrt{42}}{12}
=-\frac{8\sqrt{42}}{12}
=-\frac{2\sqrt{42}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{42}}{2*6}=\frac{0+8\sqrt{42}}{12}
=\frac{8\sqrt{42}}{12}
=\frac{2\sqrt{42}}{3}
$