Answer:
x = 4 and x = 5
Step by step solved:
To solve the equation 3x^2 - 27x + 75 = 15, we can start by subtracting 15 from both sides:
3x^2 - 27x + 60 = 0
Next, we can simplify the equation by dividing both sides by 3:
x^2 - 9x + 20 = 0
We can then factor this quadratic equation into two binomials:
(x - 4)(x - 5) = 0
Setting each factor equal to zero and solving for x, we get:
x - 4 = 0 or x - 5 = 0
x = 4 or x = 5
Therefore, the solutions to the equation 3x^2 - 27x + 75 = 15 are x = 4 and x = 5.