4(x^2+14x-176)=0

Solution for 4(x^2+14x-176)=0 equation:

4(x^2+14x-176)=0

We multiply parentheses

4x^2+56x-704=0

a = 4; b = 56; c = -704;
Δ = b2-4ac
Δ = 562-4·4·(-704)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-120}{2*4}=\frac{-176}{8}
=-22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+120}{2*4}=\frac{64}{8}
=8
$