What are the solutions of the equation? c² - 10c = 0

Solution:

Given equation is c² - 10c = 0

c(c - 10) = 0

Therefore

c = 0

c - 10 = 0 ⇒ c = 10

An alternate problem of the same type will be: What are the solutions of the equation: c³ - 25c = 0

c³ - 25c = 0

c(c² - 25) = 0

c(c - 5)(c + 5) = 0

c = 0

c - 5 = 0 ⇒ c = 5

c + 5 = 0 ⇒ c = -5

What are the solutions of the equation? c² - 10c = 0

Summary:

The solutions of the equation c² - 10c = 0 are c = 0 and c = 10