4x(x+14)=88

Solution for 4x(x+14)=88 equation:

4x(x+14)=88

We move all terms to the left:

4x(x+14)-(88)=0

We multiply parentheses

4x^2+56x-88=0

a = 4; b = 56; c = -88;
Δ = b2-4ac
Δ = 562-4·4·(-88)
Δ = 4544
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:

$\sqrt{\Delta}=\sqrt{4544}=\sqrt{64*71}=\sqrt{64}*\sqrt{71}=8\sqrt{71}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-8\sqrt{71}}{2*4}=\frac{-56-8\sqrt{71}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+8\sqrt{71}}{2*4}=\frac{-56+8\sqrt{71}}{8}
$