(2x-1)(x+12,200)=0

Solution for (2x-1)(x+12,200)=0 equation:

(2x-1)(x+12.200)=0

We add all the numbers together, and all the variables

(2x-1)(x+12.2)=0

We multiply parentheses ..

(+2x^2+24.4x-1x-12.2)=0

We get rid of parentheses

2x^2+24.4x-1x-12.2=0

We add all the numbers together, and all the variables

2x^2+23.4x-12.2=0

a = 2; b = 23.4; c = -12.2;
Δ = b2-4ac
Δ = 23.42-4·2·(-12.2)
Δ = 645.16
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{-(23.4)-\sqrt{645.16}}{2*2}=\frac{-23.4-\sqrt{645.16}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23.4)+\sqrt{645.16}}{2*2}=\frac{-23.4+\sqrt{645.16}}{4}
$