Answer:
The number of cars that brings the same profit is 9 and 0
Step-by-step explanation:
Given
[tex]x^2 - 4x = 5x[/tex]
Required
Determine the possible values of x
[tex]x^2 - 4x = 5x[/tex]
Subtract 5x from both sides
[tex]x^2 - 4x - 5x = 5x - 5x[/tex]
[tex]x^2 - 9x = 0[/tex]
Factorize
[tex]x(x - 9)= 0[/tex]
Split the equation
[tex]x = 0[/tex] or [tex]x - 9 = 0[/tex]
[tex]x = 0[/tex] or [tex]x = 9[/tex]
Hence, the number of cars that brings the same profit is 9 and 0