3x^2-x=0 take out the common factor then solve for x
We can factor out x to get:
x(3x-1) = 0
This equation will be true if either x = 0 or 3x-1 = 0. Solving for x in the second equation:
3x-1 = 0
3x = 1
x = 1/3
So the solutions to the equation are x = 0 and x = 1/3.
To take out the common factor in the equation 3x^2 - x = 0, we need to find the greatest common factor (GCF) of both terms.
The GCF of 3x^2 and -x is x.
Factoring out the GCF, we can rewrite the equation as:
x(3x - 1) = 0
Now, we have the equation x(3x - 1) = 0. To solve for x, we set each factor equal to zero and solve for x.
Setting x = 0, we have:
x = 0
Setting 3x - 1 = 0, we have:
3x - 1 = 0
3x = 1
x = 1/3
Therefore, the solutions to the equation 3x^2 - x = 0 are x = 0 and x = 1/3.