4x*2x=448

Solution for 4x*2x=448 equation:

4x*2x=448

We move all terms to the left:

4x*2x-(448)=0

Wy multiply elements

8x^2-448=0

a = 8; b = 0; c = -448;
Δ = b2-4ac
Δ = 02-4·8·(-448)
Δ = 14336
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:

$\sqrt{\Delta}=\sqrt{14336}=\sqrt{1024*14}=\sqrt{1024}*\sqrt{14}=32\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{14}}{2*8}=\frac{0-32\sqrt{14}}{16}
=-\frac{32\sqrt{14}}{16}
=-2\sqrt{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{14}}{2*8}=\frac{0+32\sqrt{14}}{16}
=\frac{32\sqrt{14}}{16}
=2\sqrt{14}
$