110 | ( | 1 | + | r | ) | ( | 1 | + | r | ) | ( | 1 | + | r | ) | = | 5 | r | r | + | 15 | r | + | 125 |
Left side of the equation = | 110 | × | 1 | ( | 1 | + | r | ) | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | ( | 1 | + | r | ) | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | × | 1 | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | × | 1 | + | 110 | r | + | 110 | r | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | + | 110 | r | + | 110 | r | ( | 1 | + | r | ) | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | + | 110 | r | + | 110 | r | × | 1 | + | 110 | r | r | + | 110 | r | ( | 1 | + | r | ) |
= | 110 | + | 110 | r | + | 110 | r | + | 110 | r | r | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | + | 220 | r | + | 110 | r | r | + | 110 | r | ( | 1 | + | r | ) | ( | 1 | + | r | ) |
= | 110 | + | 220 | r | + | 110 | r | r | + | 110 | r | × | 1 | ( | 1 | + | r | ) | + | 110 | r |
= | 110 | + | 220 | r | + | 110 | r | r | + | 110 | r | ( | 1 | + | r | ) | + | 110 | r | r |
= | 110 | + | 220 | r | + | 110 | r | r | + | 110 | r | × | 1 | + | 110 | r | r |
= | 110 | + | 220 | r | + | 110 | r | r | + | 110 | r | + | 110 | r | r | + | 110 |
= | 110 | + | 330 | r | + | 110 | r | r | + | 110 | r | r | + | 110 | r | r |
= | 110 | + | 330 | r | + | 110 | r | r | + | 110 | r | r | + | 110 | r | r |
= | 110 | + | 330 | r | + | 110 | r | r | + | 110 | r | r | + | 110 | r | r |
110 | + | 330 | r | + | 110 | r | r | + | 110 | r | r | + | 110 | r | r | = | 5 | r | r | + | 15 | r | + | 125 |
r= | 1 22 |