2x(x+14)-5x=8

Solution for 2x(x+14)-5x=8 equation:

2x(x+14)-5x=8

We move all terms to the left:

2x(x+14)-5x-(8)=0

We add all the numbers together, and all the variables

-5x+2x(x+14)-8=0

We multiply parentheses

2x^2-5x+28x-8=0

We add all the numbers together, and all the variables

2x^2+23x-8=0

a = 2; b = 23; c = -8;
Δ = b2-4ac
Δ = 232-4·2·(-8)
Δ = 593
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-\sqrt{593}}{2*2}=\frac{-23-\sqrt{593}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+\sqrt{593}}{2*2}=\frac{-23+\sqrt{593}}{4}
$