To solve the equation 3x² = 6x by rewriting it, you can follow these steps:
1. Subtract 6x from both sides to move all terms to one side of the equation:
3x² - 6x = 0
2. Factor out the greatest common factor, which is 3x:
3x(x - 2) = 0
3. Set each factor to zero to solve for x:
3x = 0 or x - 2 = 0
4. Solve each equation separately:
a) For 3x = 0, divide by 3:
x = 0
b) For x - 2 = 0, add 2 to both sides:
x = 2
Therefore, the solutions to the equation 3x² = 6x are x = 0 and x = 2.
