Solve the equation for all real values of x. 3tan^2x=3tanx

The answer to your question is x₁ = 0° and x₂ = 45°

Step-by-step explanation:

Data

            3tan²x = 3tanx

Process

1.- Equal to zero

           3tan²x - 3tanx = 0

2.- Factor by common factor

           3tanx(tanx - 1) = 0

3.- Equal to zero each factor

           3tanx = 0             tanx - 1 = 0

             tanx = 0/3          tanx = 1

             tanx = 0                  x = 45°

                  x = 0°

24 units

step-by-step explanation: