44=(2x+1)(x+3)(1/2)

Solution for 44=(2x+1)(x+3)(1/2) equation:

44=(2x+1)(x+3)(1/2)

We move all terms to the left:

44-((2x+1)(x+3)(1/2))=0

We add all the numbers together, and all the variables

-((2x+1)(x+3)(+1/2))+44=0

We multiply parentheses ..

-((+2x^2+6x+x+3)(+1/2))+44=0

We multiply all the terms by the denominator


-((+2x^2+6x+x+3)(+1+44*2))=0


We calculate terms in parentheses: -((+2x^2+6x+x+3)(+1+44*2)), so:

(+2x^2+6x+x+3)(+1+44*2)

We add all the numbers together, and all the variables

(+2x^2+6x+x+3)89

We multiply parentheses

178x^2+534x+89x+267

We add all the numbers together, and all the variables

178x^2+623x+267

Back to the equation:

-(178x^2+623x+267)


We get rid of parentheses

-178x^2-623x-267=0

a = -178; b = -623; c = -267;
Δ = b2-4ac
Δ = -6232-4·(-178)·(-267)
Δ = 198025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{198025}=445$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-623)-445}{2*-178}=\frac{178}{-356}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-623)+445}{2*-178}=\frac{1068}{-356}
=-3
$