What is the solution set of the following equation? 3x^2 - 6x = 0
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given:
3x^2 - 6x
Determine the solution.
Solution:
The solution can be determined by simply factoring first the greatest common factor from the two values, hence notice that 3 is a factor of 6, and both values have x therefore we can factor out 3x.
= 3x^2 - 6
= 3x(x - 2)
Solve for x
3x = 0
x = 0
x - 2
Transpose -2 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
x = 2
Final answer:
x = 0
x = 2