4x(11+x)=88

Solution for 4x(11+x)=88 equation:

4x(11+x)=88

We move all terms to the left:

4x(11+x)-(88)=0

We add all the numbers together, and all the variables

4x(x+11)-88=0

We multiply parentheses

4x^2+44x-88=0

a = 4; b = 44; c = -88;
Δ = b2-4ac
Δ = 442-4·4·(-88)
Δ = 3344
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:

$\sqrt{\Delta}=\sqrt{3344}=\sqrt{16*209}=\sqrt{16}*\sqrt{209}=4\sqrt{209}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-4\sqrt{209}}{2*4}=\frac{-44-4\sqrt{209}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+4\sqrt{209}}{2*4}=\frac{-44+4\sqrt{209}}{8}
$