(4.5x^2)8x=7056

Solution for (4.5x^2)8x=7056 equation:

(4.5x^2)8x=7056

We move all terms to the left:

(4.5x^2)8x-(7056)=0

We multiply parentheses

32x^2-7056=0

a = 32; b = 0; c = -7056;
Δ = b2-4ac
Δ = 02-4·32·(-7056)
Δ = 903168
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:

$\sqrt{\Delta}=\sqrt{903168}=\sqrt{451584*2}=\sqrt{451584}*\sqrt{2}=672\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-672\sqrt{2}}{2*32}=\frac{0-672\sqrt{2}}{64}
=-\frac{672\sqrt{2}}{64}
=-\frac{21\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+672\sqrt{2}}{2*32}=\frac{0+672\sqrt{2}}{64}
=\frac{672\sqrt{2}}{64}
=\frac{21\sqrt{2}}{2}
$