88=(4x+8)2x

Solution for 88=(4x+8)2x equation:

88=(4x+8)2x

We move all terms to the left:

88-((4x+8)2x)=0


We calculate terms in parentheses: -((4x+8)2x), so:

(4x+8)2x

We multiply parentheses

8x^2+16x

Back to the equation:

-(8x^2+16x)


We get rid of parentheses

-8x^2-16x+88=0

a = -8; b = -16; c = +88;
Δ = b2-4ac
Δ = -162-4·(-8)·88
Δ = 3072
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:

$\sqrt{\Delta}=\sqrt{3072}=\sqrt{1024*3}=\sqrt{1024}*\sqrt{3}=32\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-32\sqrt{3}}{2*-8}=\frac{16-32\sqrt{3}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+32\sqrt{3}}{2*-8}=\frac{16+32\sqrt{3}}{-16}
$