2(x+7)(2x+8)=0

Solution for 2(x+7)(2x+8)=0 equation:

2(x+7)(2x+8)=0

We multiply parentheses ..

2(+2x^2+8x+14x+56)=0

We multiply parentheses

4x^2+16x+28x+112=0

We add all the numbers together, and all the variables

4x^2+44x+112=0

a = 4; b = 44; c = +112;
Δ = b2-4ac
Δ = 442-4·4·112
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-12}{2*4}=\frac{-56}{8}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+12}{2*4}=\frac{-32}{8}
=-4
$