To solve the equation c² – 10c = 0, we can start by factoring the left-hand side of the equation.
We can factor out a ‘c’ from both terms:
c(c – 10) = 0
According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. Therefore, we can set each factor to zero:
- c = 0
- c – 10 = 0
Solving the second equation gives:
- c = 10
Thus, the solutions to the equation c² – 10c = 0 are:
- c = 0
- c = 10
In conclusion, the two solutions are c = 0 and c = 10.