(2+8x)(3,5x-280)=0

Solution for (2+8x)(3,5x-280)=0 equation:

(2+8x)(3.5x-280)=0

We add all the numbers together, and all the variables

(8x+2)(3.5x-280)=0

We multiply parentheses ..

(+24x^2-2240x+6x-560)=0

We get rid of parentheses

24x^2-2240x+6x-560=0

We add all the numbers together, and all the variables

24x^2-2234x-560=0

a = 24; b = -2234; c = -560;
Δ = b2-4ac
Δ = -22342-4·24·(-560)
Δ = 5044516
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5044516}=2246$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2234)-2246}{2*24}=\frac{-12}{48}
=-1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2234)+2246}{2*24}=\frac{4480}{48}
=93+1/3
$