12x^2=3x
divide both sides by 3x first to get
4x = 1
then
x = 1/4
thank you!
To solve the equation 12x^2 = 3x, you need to rearrange it in a form where one side of the equation is equal to zero. Here's how you can do it step by step:
1. Start with the equation: 12x^2 = 3x.
2. Subtract 3x from both sides of the equation: 12x^2 - 3x = 0.
3. Now we have a quadratic equation, so let's rewrite it in standard form: 12x^2 - 3x = 0 can be rewritten as 12x^2 - 3x + 0 = 0.
4. Factor out the greatest common factor, in this case, x: x(12x - 3) = 0.
5. Set each factor equal to zero: x = 0 and 12x - 3 = 0.
6. Solve the equation 12x - 3 = 0 separately:
- Add 3 to both sides: 12x = 3.
- Divide both sides by 12: x = 3/12 = 1/4.
7. Now we have two possible solutions: x = 0 and x = 1/4.
Therefore, the solutions to the equation 12x^2 = 3x are x = 0 and x = 1/4.