r=2(r-1/2)

Solution for r=2(r-1/2) equation:

r=2(r-1/2)

We move all terms to the left:

r-(2(r-1/2))=0

We add all the numbers together, and all the variables

r-(2(+r-1/2))=0

We multiply all the terms by the denominator


r*2))-(2(+r-1=0

We add all the numbers together, and all the variables

r+r*2))-(2(-1=0

Wy multiply elements

2r^2+r-1=0

a = 2; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·2·(-1)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-3}{2*2}=\frac{-4}{4}
=-1
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+3}{2*2}=\frac{2}{4}
=1/2
$