2(r^1+1)-5r=0

Solution for 2(r^1+1)-5r=0 equation:

Simplifying
2(r + 1) + -5r = 0

Reorder the terms:
2(1 + r) + -5r = 0
(1 * 2 + r * 2) + -5r = 0
(2 + 2r) + -5r = 0

Combine like terms: 2r + -5r = -3r
2 + -3r = 0

Solving
2 + -3r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3r = 0 + -2
-3r = 0 + -2

Combine like terms: 0 + -2 = -2
-3r = -2

Divide each side by '-3'.
r = 0.6666666667

Simplifying
r = 0.6666666667