Final answer:
The student's original equation, once simplified, does not lead to any of the provided answer choices. The simplification process leads to x = 11/54, which isn't an option given, indicating a potential mistake.
Step-by-step explanation:
The equation provided by the student looks like 3/5(3-2x)=6(1/3-2x), but to provide a clear solution, let's simplify and solve step by step:
- Multiply both parts inside the parentheses on each side of the equation by the factor outside of them: (9/5) - (6/5)x=2 - 12x.
- Combine like terms and bring all terms involving x to one side of the equation and constants to the other: (9/5) - 2 = (6/5)x - 12x.
- Now, combine the x terms: (6/5)x - 12x = - (54/5)x.
- So, the equation becomes (11/5) = (54/5)x, which simplifies to x = (11/5) / (54/5) = 11/54.
However, upon reviewing this, it seems that the reference information provided is for a different kind of problem, likely involving concentrations and the quadratic formula. Since we are not solving such an equation here, we can disregard the provided information. The correct answer to the student's original equation is not one of the options, implying a potential mistake in the original equation or answer choices.