x*3x=224

Solution for x*3x=224 equation:

x*3x=224

We move all terms to the left:

x*3x-(224)=0

Wy multiply elements

3x^2-224=0

a = 3; b = 0; c = -224;
Δ = b2-4ac
Δ = 02-4·3·(-224)
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*3}=\frac{0-8\sqrt{42}}{6}
=-\frac{8\sqrt{42}}{6}
=-\frac{4\sqrt{42}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{42}}{2*3}=\frac{0+8\sqrt{42}}{6}
=\frac{8\sqrt{42}}{6}
=\frac{4\sqrt{42}}{3}
$