(8+u)(2u-7)=0

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

(8+u)(2u-7)=0

We add all the numbers together, and all the variables

(u+8)(2u-7)=0

We multiply parentheses ..

(+2u^2-7u+16u-56)=0

We get rid of parentheses

2u^2-7u+16u-56=0

We add all the numbers together, and all the variables

2u^2+9u-56=0

a = 2; b = 9; c = -56;
Δ = b2-4ac
Δ = 92-4·2·(-56)
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-23}{2*2}=\frac{-32}{4}
=-8
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+23}{2*2}=\frac{14}{4}
=3+1/2
$