(x(x+2,3))/2=111

Solution for (x(x+2,3))/2=111 equation:

(x(x+2.3))/2=111

We move all terms to the left:

(x(x+2.3))/2-(111)=0

We multiply all the terms by the denominator


(x(x+2.3))-111*2=0


We calculate terms in parentheses: +(x(x+2.3)), so:

x(x+2.3)

We multiply parentheses

x^2+2.3x

Back to the equation:

+(x^2+2.3x)


We add all the numbers together, and all the variables

(x^2+2.3x)-222=0

We get rid of parentheses

x^2+2.3x-222=0

a = 1; b = 2.3; c = -222;
Δ = b2-4ac
Δ = 2.32-4·1·(-222)
Δ = 893.29
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{-(2.3)-\sqrt{893.29}}{2*1}=\frac{-2.3-\sqrt{893.29}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.3)+\sqrt{893.29}}{2*1}=\frac{-2.3+\sqrt{893.29}}{2}
$